Question

solve for w: -8w + 4 = -6 - 6w

Explanation:

Step1: Isolate w terms on left

Add $6w$ to both sides:
$-8w + 6w + 4 = -6 - 6w + 6w$
$\implies -2w + 4 = -6$

Step2: Isolate constant terms on right

Subtract 4 from both sides:
$-2w + 4 - 4 = -6 - 4$
$\implies -2w = -10$

Step3: Solve for w

Divide by $-2$ on both sides:
$\frac{-2w}{-2} = \frac{-10}{-2}$
$\implies w = 5$

Answer:

$w=5$