524=2(42+w)+2w

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Solution for 524=2(42+w)+2w equation:


Simplifying
524 = 2(42 + w) + 2w
524 = (42 * 2 + w * 2) + 2w
524 = (84 + 2w) + 2w

Combine like terms: 2w + 2w = 4w
524 = 84 + 4w

Solving
524 = 84 + 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.
524 + -4w = 84 + 4w + -4w

Combine like terms: 4w + -4w = 0
524 + -4w = 84 + 0
524 + -4w = 84

Add '-524' to each side of the equation.
524 + -524 + -4w = 84 + -524

Combine like terms: 524 + -524 = 0
0 + -4w = 84 + -524
-4w = 84 + -524

Combine like terms: 84 + -524 = -440
-4w = -440

Divide each side by '-4'.
w = 110

Simplifying
w = 110

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