7(w+6)=9w+42

Solution for 7(w+6)=9w+42 equation:

Simplifying
7(w + 6) = 9w + 42

Reorder the terms:
7(6 + w) = 9w + 42
(6 * 7 + w * 7) = 9w + 42
(42 + 7w) = 9w + 42

Reorder the terms:
42 + 7w = 42 + 9w

Add '-42' to each side of the equation.
42 + -42 + 7w = 42 + -42 + 9w

Combine like terms: 42 + -42 = 0
0 + 7w = 42 + -42 + 9w
7w = 42 + -42 + 9w

Combine like terms: 42 + -42 = 0
7w = 0 + 9w
7w = 9w

Solving
7w = 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.
7w + -9w = 9w + -9w

Combine like terms: 7w + -9w = -2w
-2w = 9w + -9w

Combine like terms: 9w + -9w = 0
-2w = 0

Divide each side by '-2'.
w = 0

Simplifying
w = 0