56=2(2+w)+2w

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Solution for 56=2(2+w)+2w equation:


Simplifying
56 = 2(2 + w) + 2w
56 = (2 * 2 + w * 2) + 2w
56 = (4 + 2w) + 2w

Combine like terms: 2w + 2w = 4w
56 = 4 + 4w

Solving
56 = 4 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
56 + -4w = 4 + 4w + -4w

Combine like terms: 4w + -4w = 0
56 + -4w = 4 + 0
56 + -4w = 4

Add '-56' to each side of the equation.
56 + -56 + -4w = 4 + -56

Combine like terms: 56 + -56 = 0
0 + -4w = 4 + -56
-4w = 4 + -56

Combine like terms: 4 + -56 = -52
-4w = -52

Divide each side by '-4'.
w = 13

Simplifying
w = 13

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