2(3w-4)-2w+2(-w+2)+6=28

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Solution for 2(3w-4)-2w+2(-w+2)+6=28 equation: 


Simplifying
2(3w + -4) + -2w + 2(-1w + 2) + 6 = 28

Reorder the terms:
2(-4 + 3w) + -2w + 2(-1w + 2) + 6 = 28
(-4 * 2 + 3w * 2) + -2w + 2(-1w + 2) + 6 = 28
(-8 + 6w) + -2w + 2(-1w + 2) + 6 = 28

Reorder the terms:
-8 + 6w + -2w + 2(2 + -1w) + 6 = 28
-8 + 6w + -2w + (2 * 2 + -1w * 2) + 6 = 28
-8 + 6w + -2w + (4 + -2w) + 6 = 28

Reorder the terms:
-8 + 4 + 6 + 6w + -2w + -2w = 28

Combine like terms: -8 + 4 = -4
-4 + 6 + 6w + -2w + -2w = 28

Combine like terms: -4 + 6 = 2
2 + 6w + -2w + -2w = 28

Combine like terms: 6w + -2w = 4w
2 + 4w + -2w = 28

Combine like terms: 4w + -2w = 2w
2 + 2w = 28

Solving
2 + 2w = 28

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 2w = 28 + -2

Combine like terms: 2 + -2 = 0
0 + 2w = 28 + -2
2w = 28 + -2

Combine like terms: 28 + -2 = 26
2w = 26

Divide each side by '2'.
w = 13

Simplifying
w = 13

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