280=2(2w-4)+2w

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Solution for 280=2(2w-4)+2w equation: 


Simplifying
280 = 2(2w + -4) + 2w

Reorder the terms:
280 = 2(-4 + 2w) + 2w
280 = (-4 * 2 + 2w * 2) + 2w
280 = (-8 + 4w) + 2w

Combine like terms: 4w + 2w = 6w
280 = -8 + 6w

Solving
280 = -8 + 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.
280 + -6w = -8 + 6w + -6w

Combine like terms: 6w + -6w = 0
280 + -6w = -8 + 0
280 + -6w = -8

Add '-280' to each side of the equation.
280 + -280 + -6w = -8 + -280

Combine like terms: 280 + -280 = 0
0 + -6w = -8 + -280
-6w = -8 + -280

Combine like terms: -8 + -280 = -288
-6w = -288

Divide each side by '-6'.
w = 48

Simplifying
w = 48

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