4(w+7)=-2(6w-8)+w

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Solution for 4(w+7)=-2(6w-8)+w equation:


Simplifying
4(w + 7) = -2(6w + -8) + w

Reorder the terms:
4(7 + w) = -2(6w + -8) + w
(7 * 4 + w * 4) = -2(6w + -8) + w
(28 + 4w) = -2(6w + -8) + w

Reorder the terms:
28 + 4w = -2(-8 + 6w) + w
28 + 4w = (-8 * -2 + 6w * -2) + w
28 + 4w = (16 + -12w) + w

Combine like terms: -12w + w = -11w
28 + 4w = 16 + -11w

Solving
28 + 4w = 16 + -11w

Solving for variable 'w'.

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

Add '11w' to each side of the equation.
28 + 4w + 11w = 16 + -11w + 11w

Combine like terms: 4w + 11w = 15w
28 + 15w = 16 + -11w + 11w

Combine like terms: -11w + 11w = 0
28 + 15w = 16 + 0
28 + 15w = 16

Add '-28' to each side of the equation.
28 + -28 + 15w = 16 + -28

Combine like terms: 28 + -28 = 0
0 + 15w = 16 + -28
15w = 16 + -28

Combine like terms: 16 + -28 = -12
15w = -12

Divide each side by '15'.
w = -0.8

Simplifying
w = -0.8

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