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

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Solution for 3(w-6)=2(2w+8) equation: 


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

Reorder the terms:
3(-6 + w) = 2(2w + 8)
(-6 * 3 + w * 3) = 2(2w + 8)
(-18 + 3w) = 2(2w + 8)

Reorder the terms:
-18 + 3w = 2(8 + 2w)
-18 + 3w = (8 * 2 + 2w * 2)
-18 + 3w = (16 + 4w)

Solving
-18 + 3w = 16 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-18 + 3w + -4w = 16 + 4w + -4w

Combine like terms: 3w + -4w = -1w
-18 + -1w = 16 + 4w + -4w

Combine like terms: 4w + -4w = 0
-18 + -1w = 16 + 0
-18 + -1w = 16

Add '18' to each side of the equation.
-18 + 18 + -1w = 16 + 18

Combine like terms: -18 + 18 = 0
0 + -1w = 16 + 18
-1w = 16 + 18

Combine like terms: 16 + 18 = 34
-1w = 34

Divide each side by '-1'.
w = -34

Simplifying
w = -34

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