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

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


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

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

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

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

Combine like terms: w + -4w = -3w
2[-4 + -3w] = 2w + 4
[-4 * 2 + -3w * 2] = 2w + 4
[-8 + -6w] = 2w + 4

Reorder the terms:
-8 + -6w = 4 + 2w

Solving
-8 + -6w = 4 + 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 + -6w + -2w = 4 + 2w + -2w

Combine like terms: -6w + -2w = -8w
-8 + -8w = 4 + 2w + -2w

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

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

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

Combine like terms: 4 + 8 = 12
-8w = 12

Divide each side by '-8'.
w = -1.5

Simplifying
w = -1.5

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