w-2+2(4w+4)=-3(w+1)

Solution for w-2+2(4w+4)=-3(w+1) equation:

Simplifying
w + -2 + 2(4w + 4) = -3(w + 1)

Reorder the terms:
w + -2 + 2(4 + 4w) = -3(w + 1)
w + -2 + (4 * 2 + 4w * 2) = -3(w + 1)
w + -2 + (8 + 8w) = -3(w + 1)

Reorder the terms:
-2 + 8 + w + 8w = -3(w + 1)

Combine like terms: -2 + 8 = 6
6 + w + 8w = -3(w + 1)

Combine like terms: w + 8w = 9w
6 + 9w = -3(w + 1)

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

Solving
6 + 9w = -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.
6 + 9w + 3w = -3 + -3w + 3w

Combine like terms: 9w + 3w = 12w
6 + 12w = -3 + -3w + 3w

Combine like terms: -3w + 3w = 0
6 + 12w = -3 + 0
6 + 12w = -3

Add '-6' to each side of the equation.
6 + -6 + 12w = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 12w = -3 + -6
12w = -3 + -6

Combine like terms: -3 + -6 = -9
12w = -9

Divide each side by '12'.
w = -0.75

Simplifying
w = -0.75