224=2w+2(2w-8)

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Solution for 224=2w+2(2w-8) equation:


Simplifying
224 = 2w + 2(2w + -8)

Reorder the terms:
224 = 2w + 2(-8 + 2w)
224 = 2w + (-8 * 2 + 2w * 2)
224 = 2w + (-16 + 4w)

Reorder the terms:
224 = -16 + 2w + 4w

Combine like terms: 2w + 4w = 6w
224 = -16 + 6w

Solving
224 = -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.
224 + -6w = -16 + 6w + -6w

Combine like terms: 6w + -6w = 0
224 + -6w = -16 + 0
224 + -6w = -16

Add '-224' to each side of the equation.
224 + -224 + -6w = -16 + -224

Combine like terms: 224 + -224 = 0
0 + -6w = -16 + -224
-6w = -16 + -224

Combine like terms: -16 + -224 = -240
-6w = -240

Divide each side by '-6'.
w = 40

Simplifying
w = 40

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