6+2(5w-1)=-2(8w-1)+8w

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Solution for 6+2(5w-1)=-2(8w-1)+8w equation: 


Simplifying
6 + 2(5w + -1) = -2(8w + -1) + 8w

Reorder the terms:
6 + 2(-1 + 5w) = -2(8w + -1) + 8w
6 + (-1 * 2 + 5w * 2) = -2(8w + -1) + 8w
6 + (-2 + 10w) = -2(8w + -1) + 8w

Combine like terms: 6 + -2 = 4
4 + 10w = -2(8w + -1) + 8w

Reorder the terms:
4 + 10w = -2(-1 + 8w) + 8w
4 + 10w = (-1 * -2 + 8w * -2) + 8w
4 + 10w = (2 + -16w) + 8w

Combine like terms: -16w + 8w = -8w
4 + 10w = 2 + -8w

Solving
4 + 10w = 2 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
4 + 10w + 8w = 2 + -8w + 8w

Combine like terms: 10w + 8w = 18w
4 + 18w = 2 + -8w + 8w

Combine like terms: -8w + 8w = 0
4 + 18w = 2 + 0
4 + 18w = 2

Add '-4' to each side of the equation.
4 + -4 + 18w = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 18w = 2 + -4
18w = 2 + -4

Combine like terms: 2 + -4 = -2
18w = -2

Divide each side by '18'.
w = -0.1111111111

Simplifying
w = -0.1111111111

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