2w-7(w-2)=(W-4)

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Solution for 2w-7(w-2)=(W-4) equation: 


Simplifying
2w + -7(w + -2) = (W + -4)

Reorder the terms:
2w + -7(-2 + w) = (W + -4)
2w + (-2 * -7 + w * -7) = (W + -4)
2w + (14 + -7w) = (W + -4)

Reorder the terms:
14 + 2w + -7w = (W + -4)

Combine like terms: 2w + -7w = -5w
14 + -5w = (W + -4)

Reorder the terms:
14 + -5w = (-4 + W)

Remove parenthesis around (-4 + W)
14 + -5w = -4 + W

Solving
14 + -5w = -4 + W

Solving for variable 'w'.

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

Add '-14' to each side of the equation.
14 + -14 + -5w = -4 + -14 + W

Combine like terms: 14 + -14 = 0
0 + -5w = -4 + -14 + W
-5w = -4 + -14 + W

Combine like terms: -4 + -14 = -18
-5w = -18 + W

Divide each side by '-5'.
w = 3.6 + -0.2W

Simplifying
w = 3.6 + -0.2W

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