-23=3w+2(w-4)

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Solution for -23=3w+2(w-4) equation:


Simplifying
-23 = 3w + 2(w + -4)

Reorder the terms:
-23 = 3w + 2(-4 + w)
-23 = 3w + (-4 * 2 + w * 2)
-23 = 3w + (-8 + 2w)

Reorder the terms:
-23 = -8 + 3w + 2w

Combine like terms: 3w + 2w = 5w
-23 = -8 + 5w

Solving
-23 = -8 + 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.
-23 + -5w = -8 + 5w + -5w

Combine like terms: 5w + -5w = 0
-23 + -5w = -8 + 0
-23 + -5w = -8

Add '23' to each side of the equation.
-23 + 23 + -5w = -8 + 23

Combine like terms: -23 + 23 = 0
0 + -5w = -8 + 23
-5w = -8 + 23

Combine like terms: -8 + 23 = 15
-5w = 15

Divide each side by '-5'.
w = -3

Simplifying
w = -3

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