4(w-2)+3w=-22

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Solution for 4(w-2)+3w=-22 equation:


Simplifying
4(w + -2) + 3w = -22

Reorder the terms:
4(-2 + w) + 3w = -22
(-2 * 4 + w * 4) + 3w = -22
(-8 + 4w) + 3w = -22

Combine like terms: 4w + 3w = 7w
-8 + 7w = -22

Solving
-8 + 7w = -22

Solving for variable 'w'.

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

Add '8' to each side of the equation.
-8 + 8 + 7w = -22 + 8

Combine like terms: -8 + 8 = 0
0 + 7w = -22 + 8
7w = -22 + 8

Combine like terms: -22 + 8 = -14
7w = -14

Divide each side by '7'.
w = -2

Simplifying
w = -2

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