400=2w+2(2w-8)

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Solution for 400=2w+2(2w-8) equation:


Simplifying
400 = 2w + 2(2w + -8)

Reorder the terms:
400 = 2w + 2(-8 + 2w)
400 = 2w + (-8 * 2 + 2w * 2)
400 = 2w + (-16 + 4w)

Reorder the terms:
400 = -16 + 2w + 4w

Combine like terms: 2w + 4w = 6w
400 = -16 + 6w

Solving
400 = -16 + 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.
400 + -6w = -16 + 6w + -6w

Combine like terms: 6w + -6w = 0
400 + -6w = -16 + 0
400 + -6w = -16

Add '-400' to each side of the equation.
400 + -400 + -6w = -16 + -400

Combine like terms: 400 + -400 = 0
0 + -6w = -16 + -400
-6w = -16 + -400

Combine like terms: -16 + -400 = -416
-6w = -416

Divide each side by '-6'.
w = 69.33333333

Simplifying
w = 69.33333333

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