-9(w+8)=-6w-42

Solution for -9(w+8)=-6w-42 equation:

Simplifying
-9(w + 8) = -6w + -42

Reorder the terms:
-9(8 + w) = -6w + -42
(8 * -9 + w * -9) = -6w + -42
(-72 + -9w) = -6w + -42

Reorder the terms:
-72 + -9w = -42 + -6w

Solving
-72 + -9w = -42 + -6w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '6w' to each side of the equation.
-72 + -9w + 6w = -42 + -6w + 6w

Combine like terms: -9w + 6w = -3w
-72 + -3w = -42 + -6w + 6w

Combine like terms: -6w + 6w = 0
-72 + -3w = -42 + 0
-72 + -3w = -42

Add '72' to each side of the equation.
-72 + 72 + -3w = -42 + 72

Combine like terms: -72 + 72 = 0
0 + -3w = -42 + 72
-3w = -42 + 72

Combine like terms: -42 + 72 = 30
-3w = 30

Divide each side by '-3'.
w = -10

Simplifying
w = -10