32=2(w)+2(4+3w)

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Solution for 32=2(w)+2(4+3w) equation: 


Simplifying
32 = 2(w) + 2(4 + 3w)
32 = 2w + (4 * 2 + 3w * 2)
32 = 2w + (8 + 6w)

Reorder the terms:
32 = 8 + 2w + 6w

Combine like terms: 2w + 6w = 8w
32 = 8 + 8w

Solving
32 = 8 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
32 + -8w = 8 + 8w + -8w

Combine like terms: 8w + -8w = 0
32 + -8w = 8 + 0
32 + -8w = 8

Add '-32' to each side of the equation.
32 + -32 + -8w = 8 + -32

Combine like terms: 32 + -32 = 0
0 + -8w = 8 + -32
-8w = 8 + -32

Combine like terms: 8 + -32 = -24
-8w = -24

Divide each side by '-8'.
w = 3

Simplifying
w = 3

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