2[w-(2w+20)+16]=2(w+4)

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Solution for 2[w-(2w+20)+16]=2(w+4) equation:


Simplifying
2[w + -1(2w + 20) + 16] = 2(w + 4)

Reorder the terms:
2[w + -1(20 + 2w) + 16] = 2(w + 4)
2[w + (20 * -1 + 2w * -1) + 16] = 2(w + 4)
2[w + (-20 + -2w) + 16] = 2(w + 4)

Reorder the terms:
2[-20 + 16 + w + -2w] = 2(w + 4)

Combine like terms: -20 + 16 = -4
2[-4 + w + -2w] = 2(w + 4)

Combine like terms: w + -2w = -1w
2[-4 + -1w] = 2(w + 4)
[-4 * 2 + -1w * 2] = 2(w + 4)
[-8 + -2w] = 2(w + 4)

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

Solving
-8 + -2w = 8 + 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.
-8 + -2w + -2w = 8 + 2w + -2w

Combine like terms: -2w + -2w = -4w
-8 + -4w = 8 + 2w + -2w

Combine like terms: 2w + -2w = 0
-8 + -4w = 8 + 0
-8 + -4w = 8

Add '8' to each side of the equation.
-8 + 8 + -4w = 8 + 8

Combine like terms: -8 + 8 = 0
0 + -4w = 8 + 8
-4w = 8 + 8

Combine like terms: 8 + 8 = 16
-4w = 16

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

Simplifying
w = -4

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