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

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


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

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

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

Combine like terms: -8w + 8w = 0
12 + 6w = 16 + 0
12 + 6w = 16

Solving
12 + 6w = 16

Solving for variable 'w'.

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

Add '-12' to each side of the equation.
12 + -12 + 6w = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 6w = 16 + -12
6w = 16 + -12

Combine like terms: 16 + -12 = 4
6w = 4

Divide each side by '6'.
w = 0.6666666667

Simplifying
w = 0.6666666667

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