180=2(2w+6)+2w

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Solution for 180=2(2w+6)+2w equation:


Simplifying
180 = 2(2w + 6) + 2w

Reorder the terms:
180 = 2(6 + 2w) + 2w
180 = (6 * 2 + 2w * 2) + 2w
180 = (12 + 4w) + 2w

Combine like terms: 4w + 2w = 6w
180 = 12 + 6w

Solving
180 = 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.
180 + -6w = 12 + 6w + -6w

Combine like terms: 6w + -6w = 0
180 + -6w = 12 + 0
180 + -6w = 12

Add '-180' to each side of the equation.
180 + -180 + -6w = 12 + -180

Combine like terms: 180 + -180 = 0
0 + -6w = 12 + -180
-6w = 12 + -180

Combine like terms: 12 + -180 = -168
-6w = -168

Divide each side by '-6'.
w = 28

Simplifying
w = 28

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