Question
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Tutor-Verified Answer
Answer
\( n=1 \)
Solution
Solve the equation \( -16+3n=-8-5n \).
Solve the equation by following steps:
- step0: Solve for \(n\):
\(-16+3n=-8-5n\)
- step1: Move the expression to the left side:
\(3n+5n=-8+16\)
- step2: Add and subtract:
\(8n=-8+16\)
- step3: Add and subtract:
\(8n=8\)
- step4: Divide both sides:
\(\frac{8n}{8}=\frac{8}{8}\)
- step5: Divide the numbers:
\(n=1\)
The solution to the equation \( -16+3n=-8-5n \) is \( n=1 \).
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Simplify this solution Bonus Knowledge
To solve the equation \( -16 + 3n = -8 - 5n \), first, we can simplify by isolating the variable. Start by adding \( 5n \) to both sides to get \( -16 + 3n + 5n = -8 \). This simplifies to \( -16 + 8n = -8 \). Next, add 16 to both sides: \( 8n = 8 \). Finally, divide both sides by 8 to find \( n = 1 \). Now you have \( n = 1 \) as your solution! Isn't it fun to see how balancing equations is like a little game? You just have to keep the scales even!
