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

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

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

Reorder the terms:
3(-6 + w) + -9 = -3(-6 + 7) + -3w
(-6 * 3 + w * 3) + -9 = -3(-6 + 7) + -3w
(-18 + 3w) + -9 = -3(-6 + 7) + -3w

Reorder the terms:
-18 + -9 + 3w = -3(-6 + 7) + -3w

Combine like terms: -18 + -9 = -27
-27 + 3w = -3(-6 + 7) + -3w

Combine like terms: -6 + 7 = 1
-27 + 3w = -3(1) + -3w

Multiply -3 * 1
-27 + 3w = -3 + -3w

Solving
-27 + 3w = -3 + -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.
-27 + 3w + 3w = -3 + -3w + 3w

Combine like terms: 3w + 3w = 6w
-27 + 6w = -3 + -3w + 3w

Combine like terms: -3w + 3w = 0
-27 + 6w = -3 + 0
-27 + 6w = -3

Add '27' to each side of the equation.
-27 + 27 + 6w = -3 + 27

Combine like terms: -27 + 27 = 0
0 + 6w = -3 + 27
6w = -3 + 27

Combine like terms: -3 + 27 = 24
6w = 24

Divide each side by '6'.
w = 4

Simplifying
w = 4