32=3(w-6)+2w

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Solution for 32=3(w-6)+2w equation: 


Simplifying
32 = 3(w + -6) + 2w

Reorder the terms:
32 = 3(-6 + w) + 2w
32 = (-6 * 3 + w * 3) + 2w
32 = (-18 + 3w) + 2w

Combine like terms: 3w + 2w = 5w
32 = -18 + 5w

Solving
32 = -18 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
32 + -5w = -18 + 5w + -5w

Combine like terms: 5w + -5w = 0
32 + -5w = -18 + 0
32 + -5w = -18

Add '-32' to each side of the equation.
32 + -32 + -5w = -18 + -32

Combine like terms: 32 + -32 = 0
0 + -5w = -18 + -32
-5w = -18 + -32

Combine like terms: -18 + -32 = -50
-5w = -50

Divide each side by '-5'.
w = 10

Simplifying
w = 10

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