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

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


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

Reorder the terms:
4(4 + w) = -2(8w + -7) + 2w
(4 * 4 + w * 4) = -2(8w + -7) + 2w
(16 + 4w) = -2(8w + -7) + 2w

Reorder the terms:
16 + 4w = -2(-7 + 8w) + 2w
16 + 4w = (-7 * -2 + 8w * -2) + 2w
16 + 4w = (14 + -16w) + 2w

Combine like terms: -16w + 2w = -14w
16 + 4w = 14 + -14w

Solving
16 + 4w = 14 + -14w

Solving for variable 'w'.

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

Add '14w' to each side of the equation.
16 + 4w + 14w = 14 + -14w + 14w

Combine like terms: 4w + 14w = 18w
16 + 18w = 14 + -14w + 14w

Combine like terms: -14w + 14w = 0
16 + 18w = 14 + 0
16 + 18w = 14

Add '-16' to each side of the equation.
16 + -16 + 18w = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 18w = 14 + -16
18w = 14 + -16

Combine like terms: 14 + -16 = -2
18w = -2

Divide each side by '18'.
w = -0.1111111111

Simplifying
w = -0.1111111111

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