9(w-5)=-2w-23

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Solution for 9(w-5)=-2w-23 equation:


Simplifying
9(w + -5) = -2w + -23

Reorder the terms:
9(-5 + w) = -2w + -23
(-5 * 9 + w * 9) = -2w + -23
(-45 + 9w) = -2w + -23

Reorder the terms:
-45 + 9w = -23 + -2w

Solving
-45 + 9w = -23 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-45 + 9w + 2w = -23 + -2w + 2w

Combine like terms: 9w + 2w = 11w
-45 + 11w = -23 + -2w + 2w

Combine like terms: -2w + 2w = 0
-45 + 11w = -23 + 0
-45 + 11w = -23

Add '45' to each side of the equation.
-45 + 45 + 11w = -23 + 45

Combine like terms: -45 + 45 = 0
0 + 11w = -23 + 45
11w = -23 + 45

Combine like terms: -23 + 45 = 22
11w = 22

Divide each side by '11'.
w = 2

Simplifying
w = 2

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