-3(w-1)=2w-42

Solution for -3(w-1)=2w-42 equation:

Simplifying
-3(w + -1) = 2w + -42

Reorder the terms:
-3(-1 + w) = 2w + -42
(-1 * -3 + w * -3) = 2w + -42
(3 + -3w) = 2w + -42

Reorder the terms:
3 + -3w = -42 + 2w

Solving
3 + -3w = -42 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
3 + -3w + -2w = -42 + 2w + -2w

Combine like terms: -3w + -2w = -5w
3 + -5w = -42 + 2w + -2w

Combine like terms: 2w + -2w = 0
3 + -5w = -42 + 0
3 + -5w = -42

Add '-3' to each side of the equation.
3 + -3 + -5w = -42 + -3

Combine like terms: 3 + -3 = 0
0 + -5w = -42 + -3
-5w = -42 + -3

Combine like terms: -42 + -3 = -45
-5w = -45

Divide each side by '-5'.
w = 9

Simplifying
w = 9