6+2(4w-2)=-2(3w-6)+8w

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Solution for 6+2(4w-2)=-2(3w-6)+8w equation: 


Simplifying
6 + 2(4w + -2) = -2(3w + -6) + 8w

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

Combine like terms: 6 + -4 = 2
2 + 8w = -2(3w + -6) + 8w

Reorder the terms:
2 + 8w = -2(-6 + 3w) + 8w
2 + 8w = (-6 * -2 + 3w * -2) + 8w
2 + 8w = (12 + -6w) + 8w

Combine like terms: -6w + 8w = 2w
2 + 8w = 12 + 2w

Solving
2 + 8w = 12 + 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 + 8w + -2w = 12 + 2w + -2w

Combine like terms: 8w + -2w = 6w
2 + 6w = 12 + 2w + -2w

Combine like terms: 2w + -2w = 0
2 + 6w = 12 + 0
2 + 6w = 12

Add '-2' to each side of the equation.
2 + -2 + 6w = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 6w = 12 + -2
6w = 12 + -2

Combine like terms: 12 + -2 = 10
6w = 10

Divide each side by '6'.
w = 1.666666667

Simplifying
w = 1.666666667

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