3(6+w)=2(w-9)

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Solution for 3(6+w)=2(w-9) equation: 


Simplifying
3(6 + w) = 2(w + -9)
(6 * 3 + w * 3) = 2(w + -9)
(18 + 3w) = 2(w + -9)

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

Solving
18 + 3w = -18 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
18 + 3w + -2w = -18 + 2w + -2w

Combine like terms: 3w + -2w = 1w
18 + 1w = -18 + 2w + -2w

Combine like terms: 2w + -2w = 0
18 + 1w = -18 + 0
18 + 1w = -18

Add '-18' to each side of the equation.
18 + -18 + 1w = -18 + -18

Combine like terms: 18 + -18 = 0
0 + 1w = -18 + -18
1w = -18 + -18

Combine like terms: -18 + -18 = -36
1w = -36

Divide each side by '1'.
w = -36

Simplifying
w = -36

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