360=2w+2(3w-4)

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Solution for 360=2w+2(3w-4) equation:


Simplifying
360 = 2w + 2(3w + -4)

Reorder the terms:
360 = 2w + 2(-4 + 3w)
360 = 2w + (-4 * 2 + 3w * 2)
360 = 2w + (-8 + 6w)

Reorder the terms:
360 = -8 + 2w + 6w

Combine like terms: 2w + 6w = 8w
360 = -8 + 8w

Solving
360 = -8 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
360 + -8w = -8 + 8w + -8w

Combine like terms: 8w + -8w = 0
360 + -8w = -8 + 0
360 + -8w = -8

Add '-360' to each side of the equation.
360 + -360 + -8w = -8 + -360

Combine like terms: 360 + -360 = 0
0 + -8w = -8 + -360
-8w = -8 + -360

Combine like terms: -8 + -360 = -368
-8w = -368

Divide each side by '-8'.
w = 46

Simplifying
w = 46

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