-9(w+6)=3w-42

Solution for -9(w+6)=3w-42 equation:

Simplifying
-9(w + 6) = 3w + -42

Reorder the terms:
-9(6 + w) = 3w + -42
(6 * -9 + w * -9) = 3w + -42
(-54 + -9w) = 3w + -42

Reorder the terms:
-54 + -9w = -42 + 3w

Solving
-54 + -9w = -42 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-54 + -9w + -3w = -42 + 3w + -3w

Combine like terms: -9w + -3w = -12w
-54 + -12w = -42 + 3w + -3w

Combine like terms: 3w + -3w = 0
-54 + -12w = -42 + 0
-54 + -12w = -42

Add '54' to each side of the equation.
-54 + 54 + -12w = -42 + 54

Combine like terms: -54 + 54 = 0
0 + -12w = -42 + 54
-12w = -42 + 54

Combine like terms: -42 + 54 = 12
-12w = 12

Divide each side by '-12'.
w = -1

Simplifying
w = -1