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

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


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

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

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

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

Combine like terms: -8w + 8w = 0
-2 + 6w = 8 + 0
-2 + 6w = 8

Solving
-2 + 6w = 8

Solving for variable 'w'.

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

Add '2' to each side of the equation.
-2 + 2 + 6w = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 6w = 8 + 2
6w = 8 + 2

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

Divide each side by '6'.
w = 1.666666667

Simplifying
w = 1.666666667

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