Question
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Tutor-Verified Answer
Answer
\( a=-7 \).
Solution
Solve the equation \( -3+5a=4a-10 \).
Solve the equation by following steps:
- step0: Solve for \(a\):
\(-3+5a=4a-10\)
- step1: Move the expression to the left side:
\(5a-4a=-10+3\)
- step2: Add and subtract:
\(a=-10+3\)
- step3: Add and subtract:
\(a=-7\)
The solution to the equation \( -3+5a=4a-10 \) is \( a=-7 \).
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Simplify this solution Bonus Knowledge
Let’s solve the equation step by step! First, rearrange the equation to get all the terms involving \( a \) on one side: \( -3 + 5a = 4a - 10 \) becomes \( 5a - 4a = -10 + 3 \). Simplifying that gives us \( a = -7 \). And voilà! You've found the value of \( a \)! Now, just for fun, try plugging \( a = -7 \) back into the original equation to check your work: \( -3 + 5(-7) = 4(-7) - 10 \). Both sides should balance out perfectly! It’s like a little math magic where checking your answer warms the heart!
