Question
Solve for \( v \). \[ 6(v+3)=72 \] Simplify your answer as much as possible. \( v=\square \)
Ask by Morrison Greene. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( v=9 \)
Solution
Solve the equation \( 6(v+3)=72 \).
Solve the equation by following steps:
- step0: Solve for \(v\):
\(6\left(v+3\right)=72\)
- step1: Divide both sides:
\(\frac{6\left(v+3\right)}{6}=\frac{72}{6}\)
- step2: Divide the numbers:
\(v+3=12\)
- step3: Move the constant to the right side:
\(v=12-3\)
- step4: Subtract the numbers:
\(v=9\)
The solution to the equation \(6(v+3)=72\) is \(v=9\).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve for \( v \) in the equation \( 6(v+3)=72 \), start by dividing both sides by 6 to isolate the term with \( v \): \[ v + 3 = \frac{72}{6} \] This simplifies to: \[ v + 3 = 12 \] Next, subtract 3 from both sides to solve for \( v \): \[ v = 12 - 3 \] Thus, we find: \[ v = 9 \] Therefore, the final answer is \( v = 9 \).
