8(w+9)=7w-6

Solution for 8(w+9)=7w-6 equation:

Simplifying
8(w + 9) = 7w + -6

Reorder the terms:
8(9 + w) = 7w + -6
(9 * 8 + w * 8) = 7w + -6
(72 + 8w) = 7w + -6

Reorder the terms:
72 + 8w = -6 + 7w

Solving
72 + 8w = -6 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
72 + 8w + -7w = -6 + 7w + -7w

Combine like terms: 8w + -7w = 1w
72 + 1w = -6 + 7w + -7w

Combine like terms: 7w + -7w = 0
72 + 1w = -6 + 0
72 + 1w = -6

Add '-72' to each side of the equation.
72 + -72 + 1w = -6 + -72

Combine like terms: 72 + -72 = 0
0 + 1w = -6 + -72
1w = -6 + -72

Combine like terms: -6 + -72 = -78
1w = -78

Divide each side by '1'.
w = -78

Simplifying
w = -78