6(w+6)=-2(5w-9)+w

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Solution for 6(w+6)=-2(5w-9)+w equation: 


Simplifying
6(w + 6) = -2(5w + -9) + w

Reorder the terms:
6(6 + w) = -2(5w + -9) + w
(6 * 6 + w * 6) = -2(5w + -9) + w
(36 + 6w) = -2(5w + -9) + w

Reorder the terms:
36 + 6w = -2(-9 + 5w) + w
36 + 6w = (-9 * -2 + 5w * -2) + w
36 + 6w = (18 + -10w) + w

Combine like terms: -10w + w = -9w
36 + 6w = 18 + -9w

Solving
36 + 6w = 18 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
36 + 6w + 9w = 18 + -9w + 9w

Combine like terms: 6w + 9w = 15w
36 + 15w = 18 + -9w + 9w

Combine like terms: -9w + 9w = 0
36 + 15w = 18 + 0
36 + 15w = 18

Add '-36' to each side of the equation.
36 + -36 + 15w = 18 + -36

Combine like terms: 36 + -36 = 0
0 + 15w = 18 + -36
15w = 18 + -36

Combine like terms: 18 + -36 = -18
15w = -18

Divide each side by '15'.
w = -1.2

Simplifying
w = -1.2

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