16=2w+3(w-8)

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Solution for 16=2w+3(w-8) equation: 


Simplifying
16 = 2w + 3(w + -8)

Reorder the terms:
16 = 2w + 3(-8 + w)
16 = 2w + (-8 * 3 + w * 3)
16 = 2w + (-24 + 3w)

Reorder the terms:
16 = -24 + 2w + 3w

Combine like terms: 2w + 3w = 5w
16 = -24 + 5w

Solving
16 = -24 + 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.
16 + -5w = -24 + 5w + -5w

Combine like terms: 5w + -5w = 0
16 + -5w = -24 + 0
16 + -5w = -24

Add '-16' to each side of the equation.
16 + -16 + -5w = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -5w = -24 + -16
-5w = -24 + -16

Combine like terms: -24 + -16 = -40
-5w = -40

Divide each side by '-5'.
w = 8

Simplifying
w = 8

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