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

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

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

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

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

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

Combine like terms: w + 9w = 10w
6 + 10w = -2(w + 6)

Reorder the terms:
6 + 10w = -2(6 + w)
6 + 10w = (6 * -2 + w * -2)
6 + 10w = (-12 + -2w)

Solving
6 + 10w = -12 + -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.
6 + 10w + 2w = -12 + -2w + 2w

Combine like terms: 10w + 2w = 12w
6 + 12w = -12 + -2w + 2w

Combine like terms: -2w + 2w = 0
6 + 12w = -12 + 0
6 + 12w = -12

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

Combine like terms: 6 + -6 = 0
0 + 12w = -12 + -6
12w = -12 + -6

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

Divide each side by '12'.
w = -1.5

Simplifying
w = -1.5