2(w+9)=-2(6w-8)+2w

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Solution for 2(w+9)=-2(6w-8)+2w equation:


Simplifying
2(w + 9) = -2(6w + -8) + 2w

Reorder the terms:
2(9 + w) = -2(6w + -8) + 2w
(9 * 2 + w * 2) = -2(6w + -8) + 2w
(18 + 2w) = -2(6w + -8) + 2w

Reorder the terms:
18 + 2w = -2(-8 + 6w) + 2w
18 + 2w = (-8 * -2 + 6w * -2) + 2w
18 + 2w = (16 + -12w) + 2w

Combine like terms: -12w + 2w = -10w
18 + 2w = 16 + -10w

Solving
18 + 2w = 16 + -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.
18 + 2w + 10w = 16 + -10w + 10w

Combine like terms: 2w + 10w = 12w
18 + 12w = 16 + -10w + 10w

Combine like terms: -10w + 10w = 0
18 + 12w = 16 + 0
18 + 12w = 16

Add '-18' to each side of the equation.
18 + -18 + 12w = 16 + -18

Combine like terms: 18 + -18 = 0
0 + 12w = 16 + -18
12w = 16 + -18

Combine like terms: 16 + -18 = -2
12w = -2

Divide each side by '12'.
w = -0.1666666667

Simplifying
w = -0.1666666667

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