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

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

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

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

Reorder the terms:
-6 + 6 + 6w + 6w = -6(w + 1)

Combine like terms: -6 + 6 = 0
0 + 6w + 6w = -6(w + 1)
6w + 6w = -6(w + 1)

Combine like terms: 6w + 6w = 12w
12w = -6(w + 1)

Reorder the terms:
12w = -6(1 + w)
12w = (1 * -6 + w * -6)
12w = (-6 + -6w)

Solving
12w = -6 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
12w + 6w = -6 + -6w + 6w

Combine like terms: 12w + 6w = 18w
18w = -6 + -6w + 6w

Combine like terms: -6w + 6w = 0
18w = -6 + 0
18w = -6

Divide each side by '18'.
w = -0.3333333333

Simplifying
w = -0.3333333333