Question

solve for w.
-6 + 8w = -4 - 7 + 7w
w = \boxed{}

Explanation:

Step1: Simplify right-hand side

$-4 - 7 = -11$, so the equation becomes:
$ -6 + 8w = -11 + 7w $

Step2: Isolate w terms (subtract 7w)

Subtract $7w$ from both sides:
$ -6 + 8w - 7w = -11 + 7w - 7w $
$ -6 + w = -11 $

Step3: Isolate w (add 6)

Add 6 to both sides:
$ -6 + w + 6 = -11 + 6 $
$ w = -5 $

Answer:

$w = -5$