-2(w+4)=2w-6+2(3w+2)

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Solution for -2(w+4)=2w-6+2(3w+2) equation: 


Simplifying
-2(w + 4) = 2w + -6 + 2(3w + 2)

Reorder the terms:
-2(4 + w) = 2w + -6 + 2(3w + 2)
(4 * -2 + w * -2) = 2w + -6 + 2(3w + 2)
(-8 + -2w) = 2w + -6 + 2(3w + 2)

Reorder the terms:
-8 + -2w = 2w + -6 + 2(2 + 3w)
-8 + -2w = 2w + -6 + (2 * 2 + 3w * 2)
-8 + -2w = 2w + -6 + (4 + 6w)

Reorder the terms:
-8 + -2w = -6 + 4 + 2w + 6w

Combine like terms: -6 + 4 = -2
-8 + -2w = -2 + 2w + 6w

Combine like terms: 2w + 6w = 8w
-8 + -2w = -2 + 8w

Solving
-8 + -2w = -2 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-8 + -2w + -8w = -2 + 8w + -8w

Combine like terms: -2w + -8w = -10w
-8 + -10w = -2 + 8w + -8w

Combine like terms: 8w + -8w = 0
-8 + -10w = -2 + 0
-8 + -10w = -2

Add '8' to each side of the equation.
-8 + 8 + -10w = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -10w = -2 + 8
-10w = -2 + 8

Combine like terms: -2 + 8 = 6
-10w = 6

Divide each side by '-10'.
w = -0.6

Simplifying
w = -0.6

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