6(w+1)-(3-2w)=7w

Solution for 6(w+1)-(3-2w)=7w equation:

Simplifying
6(w + 1) + -1(3 + -2w) = 7w

Reorder the terms:
6(1 + w) + -1(3 + -2w) = 7w
(1 * 6 + w * 6) + -1(3 + -2w) = 7w
(6 + 6w) + -1(3 + -2w) = 7w
6 + 6w + (3 * -1 + -2w * -1) = 7w
6 + 6w + (-3 + 2w) = 7w

Reorder the terms:
6 + -3 + 6w + 2w = 7w

Combine like terms: 6 + -3 = 3
3 + 6w + 2w = 7w

Combine like terms: 6w + 2w = 8w
3 + 8w = 7w

Solving
3 + 8w = 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.
3 + 8w + -7w = 7w + -7w

Combine like terms: 8w + -7w = 1w
3 + 1w = 7w + -7w

Combine like terms: 7w + -7w = 0
3 + 1w = 0

Add '-3' to each side of the equation.
3 + -3 + 1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1w = 0 + -3
1w = 0 + -3

Combine like terms: 0 + -3 = -3
1w = -3

Divide each side by '1'.
w = -3

Simplifying
w = -3