4w+42=9(w+8)

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

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

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

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

Solving
42 + 4w = 72 + 9w

Solving for variable 'w'.

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

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

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

Combine like terms: 9w + -9w = 0
42 + -5w = 72 + 0
42 + -5w = 72

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

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

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

Divide each side by '-5'.
w = -6

Simplifying
w = -6