114=2(6+w)+2w

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Solution for 114=2(6+w)+2w equation: 


Simplifying
114 = 2(6 + w) + 2w
114 = (6 * 2 + w * 2) + 2w
114 = (12 + 2w) + 2w

Combine like terms: 2w + 2w = 4w
114 = 12 + 4w

Solving
114 = 12 + 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.
114 + -4w = 12 + 4w + -4w

Combine like terms: 4w + -4w = 0
114 + -4w = 12 + 0
114 + -4w = 12

Add '-114' to each side of the equation.
114 + -114 + -4w = 12 + -114

Combine like terms: 114 + -114 = 0
0 + -4w = 12 + -114
-4w = 12 + -114

Combine like terms: 12 + -114 = -102
-4w = -102

Divide each side by '-4'.
w = 25.5

Simplifying
w = 25.5

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