2(w+6)=-3(6w-3)+2w

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Solution for 2(w+6)=-3(6w-3)+2w equation: 


Simplifying
2(w + 6) = -3(6w + -3) + 2w

Reorder the terms:
2(6 + w) = -3(6w + -3) + 2w
(6 * 2 + w * 2) = -3(6w + -3) + 2w
(12 + 2w) = -3(6w + -3) + 2w

Reorder the terms:
12 + 2w = -3(-3 + 6w) + 2w
12 + 2w = (-3 * -3 + 6w * -3) + 2w
12 + 2w = (9 + -18w) + 2w

Combine like terms: -18w + 2w = -16w
12 + 2w = 9 + -16w

Solving
12 + 2w = 9 + -16w

Solving for variable 'w'.

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

Add '16w' to each side of the equation.
12 + 2w + 16w = 9 + -16w + 16w

Combine like terms: 2w + 16w = 18w
12 + 18w = 9 + -16w + 16w

Combine like terms: -16w + 16w = 0
12 + 18w = 9 + 0
12 + 18w = 9

Add '-12' to each side of the equation.
12 + -12 + 18w = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 18w = 9 + -12
18w = 9 + -12

Combine like terms: 9 + -12 = -3
18w = -3

Divide each side by '18'.
w = -0.1666666667

Simplifying
w = -0.1666666667

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