9(w-8)=4w-42

Solution for 9(w-8)=4w-42 equation:

Simplifying
9(w + -8) = 4w + -42

Reorder the terms:
9(-8 + w) = 4w + -42
(-8 * 9 + w * 9) = 4w + -42
(-72 + 9w) = 4w + -42

Reorder the terms:
-72 + 9w = -42 + 4w

Solving
-72 + 9w = -42 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-72 + 9w + -4w = -42 + 4w + -4w

Combine like terms: 9w + -4w = 5w
-72 + 5w = -42 + 4w + -4w

Combine like terms: 4w + -4w = 0
-72 + 5w = -42 + 0
-72 + 5w = -42

Add '72' to each side of the equation.
-72 + 72 + 5w = -42 + 72

Combine like terms: -72 + 72 = 0
0 + 5w = -42 + 72
5w = -42 + 72

Combine like terms: -42 + 72 = 30
5w = 30

Divide each side by '5'.
w = 6

Simplifying
w = 6