3(w-5)=-4w-22

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Solution for 3(w-5)=-4w-22 equation: 


Simplifying
3(w + -5) = -4w + -22

Reorder the terms:
3(-5 + w) = -4w + -22
(-5 * 3 + w * 3) = -4w + -22
(-15 + 3w) = -4w + -22

Reorder the terms:
-15 + 3w = -22 + -4w

Solving
-15 + 3w = -22 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
-15 + 3w + 4w = -22 + -4w + 4w

Combine like terms: 3w + 4w = 7w
-15 + 7w = -22 + -4w + 4w

Combine like terms: -4w + 4w = 0
-15 + 7w = -22 + 0
-15 + 7w = -22

Add '15' to each side of the equation.
-15 + 15 + 7w = -22 + 15

Combine like terms: -15 + 15 = 0
0 + 7w = -22 + 15
7w = -22 + 15

Combine like terms: -22 + 15 = -7
7w = -7

Divide each side by '7'.
w = -1

Simplifying
w = -1

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