7(w+4)-(5w-6)=w

Solution for 7(w+4)-(5w-6)=w equation:

Simplifying
7(w + 4) + -1(5w + -6) = w

Reorder the terms:
7(4 + w) + -1(5w + -6) = w
(4 * 7 + w * 7) + -1(5w + -6) = w
(28 + 7w) + -1(5w + -6) = w

Reorder the terms:
28 + 7w + -1(-6 + 5w) = w
28 + 7w + (-6 * -1 + 5w * -1) = w
28 + 7w + (6 + -5w) = w

Reorder the terms:
28 + 6 + 7w + -5w = w

Combine like terms: 28 + 6 = 34
34 + 7w + -5w = w

Combine like terms: 7w + -5w = 2w
34 + 2w = w

Solving
34 + 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.
34 + 2w + -1w = w + -1w

Combine like terms: 2w + -1w = 1w
34 + 1w = w + -1w

Combine like terms: w + -1w = 0
34 + 1w = 0

Add '-34' to each side of the equation.
34 + -34 + 1w = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 1w = 0 + -34
1w = 0 + -34

Combine like terms: 0 + -34 = -34
1w = -34

Divide each side by '1'.
w = -34

Simplifying
w = -34