-27=2w+3(w-4)

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Solution for -27=2w+3(w-4) equation:


Simplifying
-27 = 2w + 3(w + -4)

Reorder the terms:
-27 = 2w + 3(-4 + w)
-27 = 2w + (-4 * 3 + w * 3)
-27 = 2w + (-12 + 3w)

Reorder the terms:
-27 = -12 + 2w + 3w

Combine like terms: 2w + 3w = 5w
-27 = -12 + 5w

Solving
-27 = -12 + 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.
-27 + -5w = -12 + 5w + -5w

Combine like terms: 5w + -5w = 0
-27 + -5w = -12 + 0
-27 + -5w = -12

Add '27' to each side of the equation.
-27 + 27 + -5w = -12 + 27

Combine like terms: -27 + 27 = 0
0 + -5w = -12 + 27
-5w = -12 + 27

Combine like terms: -12 + 27 = 15
-5w = 15

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

Simplifying
w = -3

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