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solve for w.\ -4(w + 1) = -24\ w = \\boxed{}

Question

solve for w.\
-4(w + 1) = -24\
w = \boxed{}

Explanation:

Step1: Divide both sides by -4

To isolate the term with \( w \), divide both sides of the equation \(-4(w + 1) = -24\) by \(-4\).
\[
\frac{-4(w + 1)}{-4} = \frac{-24}{-4}
\]
Simplifying both sides, we get:
\[
w + 1 = 6
\]

Step2: Subtract 1 from both sides

To solve for \( w \), subtract 1 from both sides of the equation \( w + 1 = 6 \).
\[
w + 1 - 1 = 6 - 1
\]
Simplifying both sides, we find:
\[
w = 5
\]

Answer:

\( w = 5 \)