Question
\( \begin{array}{l} 72-2 w=7 w\\ \text { Simplify your answer as much as possible. }\\ w= \end{array} \)
Ask by Haynes Daniel. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( w = 8 \)
Solution
To solve the equation:
\[
72 - 2w = 7w
\]
follow these steps:
1. **Add \(2w\) to both sides** to get all the \(w\) terms on one side:
\[
72 = 7w + 2w
\]
\[
72 = 9w
\]
2. **Divide both sides by 9** to isolate \(w\):
\[
w = \frac{72}{9}
\]
\[
w = 8
\]
**Solution:**
\[
w = 8
\]
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
To solve the equation \( 72 - 2w = 7w \), start by getting all terms involving \( w \) on one side. First, add \( 2w \) to both sides: \[ 72 = 9w \] Next, divide both sides by 9 to isolate \( w \): \[ w = \frac{72}{9} \] Simplifying gives: \[ w = 8 \]