76=2w+2(6+2w)

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Solution for 76=2w+2(6+2w) equation:


Simplifying
76 = 2w + 2(6 + 2w)
76 = 2w + (6 * 2 + 2w * 2)
76 = 2w + (12 + 4w)

Reorder the terms:
76 = 12 + 2w + 4w

Combine like terms: 2w + 4w = 6w
76 = 12 + 6w

Solving
76 = 12 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
76 + -6w = 12 + 6w + -6w

Combine like terms: 6w + -6w = 0
76 + -6w = 12 + 0
76 + -6w = 12

Add '-76' to each side of the equation.
76 + -76 + -6w = 12 + -76

Combine like terms: 76 + -76 = 0
0 + -6w = 12 + -76
-6w = 12 + -76

Combine like terms: 12 + -76 = -64
-6w = -64

Divide each side by '-6'.
w = 10.66666667

Simplifying
w = 10.66666667

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