golve for the variable in each equation. 1. \( 7 x=63 \) 8. \( 4 c=28 \) 2. \( 23+m=51 \) 9. \( \frac{12}{x}=-3 \) 15. \( \frac{x}{6}=8 \) 3. \( -13=y-12 \) 10. \( 26=b+33 \) 16. \( 16 y=-48 \) 4. \( \frac{x}{4}=-16 \) 11. \( 93=3 x \) 17. \( r-35=75 \) 18. \( 24=\frac{120}{x} \) 24. \( \frac{x}{11}=6 \) 5. \( 5 a=625 \) 12. \( s+16=8 \) 6. \( y-17=-30 \) 13. \( 36=\frac{x}{3} \) 19. \( 5 y=-45 \) 25. \( m+24=14 \) 26. \( 5 y=45 \) 20. \( d+45=20 \) 27. \( 14-w=42 \) 7. \( x+6=33 \) 14. \( t+14=53 \) 21. \( 16=4 x \) 28. \( 18=\frac{y}{4} \)

Solve the equation by following steps: - step0: Solve for \(y\): \(-13=y-12\) - step1: Swap the sides: \(y-12=-13\) - step2: Move the constant to the right side: \(y=-13+12\) - step3: Add the numbers: \(y=-1\) Solve the equation \( \frac{x}{11}=6 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{x}{11}=6\) - step1: Cross multiply: \(x=11\times 6\) - step2: Simplify the equation: \(x=66\) Solve the equation \( 18=\frac{y}{4} \). Solve the equation by following steps: - step0: Solve for \(y\): \(18=\frac{y}{4}\) - step1: Swap the sides: \(\frac{y}{4}=18\) - step2: Cross multiply: \(y=4\times 18\) - step3: Simplify the equation: \(y=72\) Solve the equation \( 23+m=51 \). Solve the equation by following steps: - step0: Solve for \(m\): \(23+m=51\) - step1: Move the constant to the right side: \(m=51-23\) - step2: Subtract the numbers: \(m=28\) Solve the equation \( 4c=28 \). Solve the equation by following steps: - step0: Solve for \(c\): \(4c=28\) - step1: Divide both sides: \(\frac{4c}{4}=\frac{28}{4}\) - step2: Divide the numbers: \(c=7\) Solve the equation \( 7x=63 \). Solve the equation by following steps: - step0: Solve for \(x\): \(7x=63\) - step1: Divide both sides: \(\frac{7x}{7}=\frac{63}{7}\) - step2: Divide the numbers: \(x=9\) Solve the equation \( \frac{x}{6}=8 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{x}{6}=8\) - step1: Cross multiply: \(x=6\times 8\) - step2: Simplify the equation: \(x=48\) Solve the equation \( \frac{12}{x}=-3 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{12}{x}=-3\) - step1: Find the domain: \(\frac{12}{x}=-3,x\neq 0\) - step2: Cross multiply: \(12=x\left(-3\right)\) - step3: Simplify the equation: \(12=-3x\) - step4: Rewrite the expression: \(3\times 4=3\left(-x\right)\) - step5: Evaluate: \(4=-x\) - step6: Swap the sides: \(-x=4\) - step7: Change the signs: \(x=-4\) - step8: Check if the solution is in the defined range: \(x=-4,x\neq 0\) - step9: Find the intersection: \(x=-4\) Solve the equation \( m+24=14 \). Solve the equation by following steps: - step0: Solve for \(m\): \(m+24=14\) - step1: Move the constant to the right side: \(m=14-24\) - step2: Subtract the numbers: \(m=-10\) Solve the equation \( 5a=625 \). Solve the equation by following steps: - step0: Solve for \(a\): \(5a=625\) - step1: Divide both sides: \(\frac{5a}{5}=\frac{625}{5}\) - step2: Divide the numbers: \(a=125\) Solve the equation \( s+16=8 \). Solve the equation by following steps: - step0: Solve for \(s\): \(s+16=8\) - step1: Move the constant to the right side: \(s=8-16\) - step2: Subtract the numbers: \(s=-8\) Solve the equation \( y-17=-30 \). Solve the equation by following steps: - step0: Solve for \(y\): \(y-17=-30\) - step1: Move the constant to the right side: \(y=-30+17\) - step2: Add the numbers: \(y=-13\) Solve the equation \( 36=\frac{x}{3} \). Solve the equation by following steps: - step0: Solve for \(x\): \(36=\frac{x}{3}\) - step1: Swap the sides: \(\frac{x}{3}=36\) - step2: Cross multiply: \(x=3\times 36\) - step3: Simplify the equation: \(x=108\) Solve the equation \( 5y=-45 \). Solve the equation by following steps: - step0: Solve for \(y\): \(5y=-45\) - step1: Divide both sides: \(\frac{5y}{5}=\frac{-45}{5}\) - step2: Divide the numbers: \(y=-9\) Solve the equation \( 16y=-48 \). Solve the equation by following steps: - step0: Solve for \(y\): \(16y=-48\) - step1: Divide both sides: \(\frac{16y}{16}=\frac{-48}{16}\) - step2: Divide the numbers: \(y=-3\) Solve the equation \( \frac{x}{4}=-16 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{x}{4}=-16\) - step1: Cross multiply: \(x=4\left(-16\right)\) - step2: Simplify the equation: \(x=-64\) Solve the equation \( 26=b+33 \). Solve the equation by following steps: - step0: Solve for \(b\): \(26=b+33\) - step1: Swap the sides: \(b+33=26\) - step2: Move the constant to the right side: \(b=26-33\) - step3: Subtract the numbers: \(b=-7\) Solve the equation \( 14-w=42 \). Solve the equation by following steps: - step0: Solve for \(w\): \(14-w=42\) - step1: Move the constant to the right side: \(-w=42-14\) - step2: Subtract the numbers: \(-w=28\) - step3: Change the signs: \(w=-28\) Solve the equation \( 5y=45 \). Solve the equation by following steps: - step0: Solve for \(y\): \(5y=45\) - step1: Divide both sides: \(\frac{5y}{5}=\frac{45}{5}\) - step2: Divide the numbers: \(y=9\) Solve the equation \( d+45=20 \). Solve the equation by following steps: - step0: Solve for \(d\): \(d+45=20\) - step1: Move the constant to the right side: \(d=20-45\) - step2: Subtract the numbers: \(d=-25\) Solve the equation \( 93=3x \). Solve the equation by following steps: - step0: Solve for \(x\): \(93=3x\) - step1: Swap the sides: \(3x=93\) - step2: Divide both sides: \(\frac{3x}{3}=\frac{93}{3}\) - step3: Divide the numbers: \(x=31\) Solve the equation \( t+14=53 \). Solve the equation by following steps: - step0: Solve for \(t\): \(t+14=53\) - step1: Move the constant to the right side: \(t=53-14\) - step2: Subtract the numbers: \(t=39\) Solve the equation \( 24=\frac{120}{x} \). Solve the equation by following steps: - step0: Solve for \(x\): \(24=\frac{120}{x}\) - step1: Find the domain: \(24=\frac{120}{x},x\neq 0\) - step2: Swap the sides: \(\frac{120}{x}=24\) - step3: Cross multiply: \(120=x\times 24\) - step4: Simplify the equation: \(120=24x\) - step5: Rewrite the expression: \(24\times 5=24x\) - step6: Evaluate: \(5=x\) - step7: Swap the sides: \(x=5\) - step8: Check if the solution is in the defined range: \(x=5,x\neq 0\) - step9: Find the intersection: \(x=5\) Solve the equation \( x+6=33 \). Solve the equation by following steps: - step0: Solve for \(x\): \(x+6=33\) - step1: Move the constant to the right side: \(x=33-6\) - step2: Subtract the numbers: \(x=27\) Solve the equation \( r-35=75 \). Solve the equation by following steps: - step0: Solve for \(r\): \(r-35=75\) - step1: Move the constant to the right side: \(r=75+35\) - step2: Add the numbers: \(r=110\) Solve the equation \( 16=4x \). Solve the equation by following steps: - step0: Solve for \(x\): \(16=4x\) - step1: Swap the sides: \(4x=16\) - step2: Divide both sides: \(\frac{4x}{4}=\frac{16}{4}\) - step3: Divide the numbers: \(x=4\) Here are the solutions for each equation: 1. \( 7x = 63 \) **Solution:** \( x = 9 \) 2. \( 4c = 28 \) **Solution:** \( c = 7 \) 3. \( 23 + m = 51 \) **Solution:** \( m = 28 \) 4. \( \frac{12}{x} = -3 \) **Solution:** \( x = -4 \) 5. \( \frac{x}{6} = 8 \) **Solution:** \( x = 48 \) 6. \( -13 = y - 12 \) **Solution:** \( y = -1 \) 7. \( \frac{x}{4} = -16 \) **Solution:** \( x = -64 \) 8. \( 26 = b + 33 \) **Solution:** \( b = -7 \) 9. \( 16y = -48 \) **Solution:** \( y = -3 \) 10. \( 93 = 3x \) **Solution:** \( x = 31 \) 11. \( r - 35 = 75 \) **Solution:** \( r = 110 \) 12. \( 24 = \frac{120}{x} \) **Solution:** \( x = 5 \) 13. \( \frac{x}{11} = 6 \) **Solution:** \( x = 66 \) 14. \( 5a = 625 \) **Solution:** \( a = 125 \) 15. \( s + 16 = 8 \) **Solution:** \( s = -8 \) 16. \( y - 17 = -30 \) **Solution:** \( y = -13 \) 17. \( 36 = \frac{x}{3} \) **Solution:** \( x = 108 \) 18. \( 5y = -45 \) **Solution:** \( y = -9 \) 19. \( m + 24 = 14 \) **Solution:** \( m = -10 \) 20. \( 5y = 45 \) **Solution:** \( y = 9 \) 21. \( d + 45 = 20 \) **Solution:** \( d = -25 \) 22. \( 14 - w = 42 \) **Solution:** \( w = -28 \) 23. \( x + 6 = 33 \) **Solution:** \( x = 27 \) 24. \( t + 14 = 53 \) **Solution:** \( t = 39 \) 25. \( 16 = 4x \) **Solution:** \( x = 4 \) 26. \( 18 = \frac{y}{4} \) **Solution:** \( y = 72 \) If you have any further questions or need additional assistance, feel free to ask!