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solve for w. 4w - 2 = -9(w + 6) simplify your answer as much as possibl…

Question

solve for w.
4w - 2 = -9(w + 6)
simplify your answer as much as possible.
w =

Explanation:

Step1: Expand the right-hand side

$4w - 2 = -9w - 54$

Step2: Add $9w$ to both sides

$4w + 9w - 2 = -54$
$13w - 2 = -54$

Step3: Add 2 to both sides

$13w = -54 + 2$
$13w = -52$

Step4: Divide by 13

$w = \frac{-52}{13}$

Answer:

$w = -4$