7(w+1)-(6-4w)=10w

Solution for 7(w+1)-(6-4w)=10w equation:

Simplifying
7(w + 1) + -1(6 + -4w) = 10w

Reorder the terms:
7(1 + w) + -1(6 + -4w) = 10w
(1 * 7 + w * 7) + -1(6 + -4w) = 10w
(7 + 7w) + -1(6 + -4w) = 10w
7 + 7w + (6 * -1 + -4w * -1) = 10w
7 + 7w + (-6 + 4w) = 10w

Reorder the terms:
7 + -6 + 7w + 4w = 10w

Combine like terms: 7 + -6 = 1
1 + 7w + 4w = 10w

Combine like terms: 7w + 4w = 11w
1 + 11w = 10w

Solving
1 + 11w = 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
1 + 11w + -10w = 10w + -10w

Combine like terms: 11w + -10w = 1w
1 + 1w = 10w + -10w

Combine like terms: 10w + -10w = 0
1 + 1w = 0

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

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

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

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

Simplifying
w = -1