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

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

Simplifying
9(w + 6) + -1(6 + 7w) = w

Reorder the terms:
9(6 + w) + -1(6 + 7w) = w
(6 * 9 + w * 9) + -1(6 + 7w) = w
(54 + 9w) + -1(6 + 7w) = w
54 + 9w + (6 * -1 + 7w * -1) = w
54 + 9w + (-6 + -7w) = w

Reorder the terms:
54 + -6 + 9w + -7w = w

Combine like terms: 54 + -6 = 48
48 + 9w + -7w = w

Combine like terms: 9w + -7w = 2w
48 + 2w = w

Solving
48 + 2w = w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
48 + 2w + -1w = w + -1w

Combine like terms: 2w + -1w = 1w
48 + 1w = w + -1w

Combine like terms: w + -1w = 0
48 + 1w = 0

Add '-48' to each side of the equation.
48 + -48 + 1w = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 1w = 0 + -48
1w = 0 + -48

Combine like terms: 0 + -48 = -48
1w = -48

Divide each side by '1'.
w = -48

Simplifying
w = -48