-3(w-3)+7(-w-3)=-22

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Solution for -3(w-3)+7(-w-3)=-22 equation: 


Simplifying
-3(w + -3) + 7(-1w + -3) = -22

Reorder the terms:
-3(-3 + w) + 7(-1w + -3) = -22
(-3 * -3 + w * -3) + 7(-1w + -3) = -22
(9 + -3w) + 7(-1w + -3) = -22

Reorder the terms:
9 + -3w + 7(-3 + -1w) = -22
9 + -3w + (-3 * 7 + -1w * 7) = -22
9 + -3w + (-21 + -7w) = -22

Reorder the terms:
9 + -21 + -3w + -7w = -22

Combine like terms: 9 + -21 = -12
-12 + -3w + -7w = -22

Combine like terms: -3w + -7w = -10w
-12 + -10w = -22

Solving
-12 + -10w = -22

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + -10w = -22 + 12

Combine like terms: -12 + 12 = 0
0 + -10w = -22 + 12
-10w = -22 + 12

Combine like terms: -22 + 12 = -10
-10w = -10

Divide each side by '-10'.
w = 1

Simplifying
w = 1

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