9=3(w+2)-6w

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

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

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

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

Solving
9 = 6 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
9 + 3w = 6 + -3w + 3w

Combine like terms: -3w + 3w = 0
9 + 3w = 6 + 0
9 + 3w = 6

Add '-9' to each side of the equation.
9 + -9 + 3w = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 3w = 6 + -9
3w = 6 + -9

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

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

Simplifying
w = -1