7w+6-w=9w-2(w-3)

Solution for 7w+6-w=9w-2(w-3) equation:

Simplifying
7w + 6 + -1w = 9w + -2(w + -3)

Reorder the terms:
6 + 7w + -1w = 9w + -2(w + -3)

Combine like terms: 7w + -1w = 6w
6 + 6w = 9w + -2(w + -3)

Reorder the terms:
6 + 6w = 9w + -2(-3 + w)
6 + 6w = 9w + (-3 * -2 + w * -2)
6 + 6w = 9w + (6 + -2w)

Reorder the terms:
6 + 6w = 6 + 9w + -2w

Combine like terms: 9w + -2w = 7w
6 + 6w = 6 + 7w

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

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

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

Solving
6w = 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.
6w + -7w = 7w + -7w

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

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

Divide each side by '-1'.
w = 0

Simplifying
w = 0