Question
Solve for \( w \) \[ \frac{w}{2}+6=-4 \] Simplify your answer as much as possible.
Ask by Lynch Mcfarlane. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( w = -20 \)
Solution
1. Start with the equation:
\[
\frac{w}{2} + 6 = -4
\]
2. Subtract 6 from both sides of the equation:
\[
\frac{w}{2} = -4 - 6
\]
\[
\frac{w}{2} = -10
\]
3. Multiply both sides by 2 to isolate \( w \):
\[
w = -10 \times 2
\]
\[
w = -20
\]
The simplified answer is:
\[
w = -20
\]
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Simplify this solution Extra Insights
To solve for \( w \), we start with the equation: \[ \frac{w}{2} + 6 = -4 \] First, let's isolate the term with \( w \) by subtracting 6 from both sides: \[ \frac{w}{2} = -4 - 6 \] \[ \frac{w}{2} = -10 \] Next, to eliminate the fraction, multiply both sides by 2: \[ w = -10 \times 2 \] \[ w = -20 \] So the solution for \( w \) is: \[ \boxed{-20} \]
