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

Solution for 3(w-1)+9=6-2w equation:

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

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

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

Combine like terms: -3 + 9 = 6
6 + 3w = 6 + -2w

Add '-6' to each side of the equation.
6 + -6 + 3w = 6 + -6 + -2w

Combine like terms: 6 + -6 = 0
0 + 3w = 6 + -6 + -2w
3w = 6 + -6 + -2w

Combine like terms: 6 + -6 = 0
3w = 0 + -2w
3w = -2w

Solving
3w = -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
3w + 2w = -2w + 2w

Combine like terms: 3w + 2w = 5w
5w = -2w + 2w

Combine like terms: -2w + 2w = 0
5w = 0

Divide each side by '5'.
w = 0

Simplifying
w = 0