2(w-2)+3w=-39

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Solution for 2(w-2)+3w=-39 equation:


Simplifying
2(w + -2) + 3w = -39

Reorder the terms:
2(-2 + w) + 3w = -39
(-2 * 2 + w * 2) + 3w = -39
(-4 + 2w) + 3w = -39

Combine like terms: 2w + 3w = 5w
-4 + 5w = -39

Solving
-4 + 5w = -39

Solving for variable 'w'.

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

Add '4' to each side of the equation.
-4 + 4 + 5w = -39 + 4

Combine like terms: -4 + 4 = 0
0 + 5w = -39 + 4
5w = -39 + 4

Combine like terms: -39 + 4 = -35
5w = -35

Divide each side by '5'.
w = -7

Simplifying
w = -7

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