2(2w+7)+2w=92

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Solution for 2(2w+7)+2w=92 equation:


Simplifying
2(2w + 7) + 2w = 92

Reorder the terms:
2(7 + 2w) + 2w = 92
(7 * 2 + 2w * 2) + 2w = 92
(14 + 4w) + 2w = 92

Combine like terms: 4w + 2w = 6w
14 + 6w = 92

Solving
14 + 6w = 92

Solving for variable 'w'.

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

Add '-14' to each side of the equation.
14 + -14 + 6w = 92 + -14

Combine like terms: 14 + -14 = 0
0 + 6w = 92 + -14
6w = 92 + -14

Combine like terms: 92 + -14 = 78
6w = 78

Divide each side by '6'.
w = 13

Simplifying
w = 13

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