8w-4+2(4w+5)=-2(w+1)

Solution for 8w-4+2(4w+5)=-2(w+1) equation:

Simplifying
8w + -4 + 2(4w + 5) = -2(w + 1)

Reorder the terms:
8w + -4 + 2(5 + 4w) = -2(w + 1)
8w + -4 + (5 * 2 + 4w * 2) = -2(w + 1)
8w + -4 + (10 + 8w) = -2(w + 1)

Reorder the terms:
-4 + 10 + 8w + 8w = -2(w + 1)

Combine like terms: -4 + 10 = 6
6 + 8w + 8w = -2(w + 1)

Combine like terms: 8w + 8w = 16w
6 + 16w = -2(w + 1)

Reorder the terms:
6 + 16w = -2(1 + w)
6 + 16w = (1 * -2 + w * -2)
6 + 16w = (-2 + -2w)

Solving
6 + 16w = -2 + -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 + 16w + 2w = -2 + -2w + 2w

Combine like terms: 16w + 2w = 18w
6 + 18w = -2 + -2w + 2w

Combine like terms: -2w + 2w = 0
6 + 18w = -2 + 0
6 + 18w = -2

Add '-6' to each side of the equation.
6 + -6 + 18w = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 18w = -2 + -6
18w = -2 + -6

Combine like terms: -2 + -6 = -8
18w = -8

Divide each side by '18'.
w = -0.4444444444

Simplifying
w = -0.4444444444