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

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


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

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

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

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

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

Combine like terms: 4w + 6w = 10w
-8 + 4w = 8 + 10w

Solving
-8 + 4w = 8 + 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
-8 + 4w + -10w = 8 + 10w + -10w

Combine like terms: 4w + -10w = -6w
-8 + -6w = 8 + 10w + -10w

Combine like terms: 10w + -10w = 0
-8 + -6w = 8 + 0
-8 + -6w = 8

Add '8' to each side of the equation.
-8 + 8 + -6w = 8 + 8

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

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

Divide each side by '-6'.
w = -2.666666667

Simplifying
w = -2.666666667

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