2[w-(2w+16)+15]=2(w+1)

Solution for 2[w-(2w+16)+15]=2(w+1) equation:

Simplifying
2[w + -1(2w + 16) + 15] = 2(w + 1)

Reorder the terms:
2[w + -1(16 + 2w) + 15] = 2(w + 1)
2[w + (16 * -1 + 2w * -1) + 15] = 2(w + 1)
2[w + (-16 + -2w) + 15] = 2(w + 1)

Reorder the terms:
2[-16 + 15 + w + -2w] = 2(w + 1)

Combine like terms: -16 + 15 = -1
2[-1 + w + -2w] = 2(w + 1)

Combine like terms: w + -2w = -1w
2[-1 + -1w] = 2(w + 1)
[-1 * 2 + -1w * 2] = 2(w + 1)
[-2 + -2w] = 2(w + 1)

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

Solving
-2 + -2w = 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.
-2 + -2w + -2w = 2 + 2w + -2w

Combine like terms: -2w + -2w = -4w
-2 + -4w = 2 + 2w + -2w

Combine like terms: 2w + -2w = 0
-2 + -4w = 2 + 0
-2 + -4w = 2

Add '2' to each side of the equation.
-2 + 2 + -4w = 2 + 2

Combine like terms: -2 + 2 = 0
0 + -4w = 2 + 2
-4w = 2 + 2

Combine like terms: 2 + 2 = 4
-4w = 4

Divide each side by '-4'.
w = -1

Simplifying
w = -1