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

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


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

Reorder the terms:
-4(-8 + 2w) + 2w = 6(w + 6)
(-8 * -4 + 2w * -4) + 2w = 6(w + 6)
(32 + -8w) + 2w = 6(w + 6)

Combine like terms: -8w + 2w = -6w
32 + -6w = 6(w + 6)

Reorder the terms:
32 + -6w = 6(6 + w)
32 + -6w = (6 * 6 + w * 6)
32 + -6w = (36 + 6w)

Solving
32 + -6w = 36 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
32 + -6w + -6w = 36 + 6w + -6w

Combine like terms: -6w + -6w = -12w
32 + -12w = 36 + 6w + -6w

Combine like terms: 6w + -6w = 0
32 + -12w = 36 + 0
32 + -12w = 36

Add '-32' to each side of the equation.
32 + -32 + -12w = 36 + -32

Combine like terms: 32 + -32 = 0
0 + -12w = 36 + -32
-12w = 36 + -32

Combine like terms: 36 + -32 = 4
-12w = 4

Divide each side by '-12'.
w = -0.3333333333

Simplifying
w = -0.3333333333

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