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

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


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

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

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

Combine like terms: -2 + 4 = 2
2 + 8w + 8w = -2(w + 2)

Combine like terms: 8w + 8w = 16w
2 + 16w = -2(w + 2)

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

Solving
2 + 16w = -4 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
2 + 16w + 2w = -4 + -2w + 2w

Combine like terms: 16w + 2w = 18w
2 + 18w = -4 + -2w + 2w

Combine like terms: -2w + 2w = 0
2 + 18w = -4 + 0
2 + 18w = -4

Add '-2' to each side of the equation.
2 + -2 + 18w = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 18w = -4 + -2
18w = -4 + -2

Combine like terms: -4 + -2 = -6
18w = -6

Divide each side by '18'.
w = -0.3333333333

Simplifying
w = -0.3333333333

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