9(w-7)=-2w-41

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Solution for 9(w-7)=-2w-41 equation:


Simplifying
9(w + -7) = -2w + -41

Reorder the terms:
9(-7 + w) = -2w + -41
(-7 * 9 + w * 9) = -2w + -41
(-63 + 9w) = -2w + -41

Reorder the terms:
-63 + 9w = -41 + -2w

Solving
-63 + 9w = -41 + -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.
-63 + 9w + 2w = -41 + -2w + 2w

Combine like terms: 9w + 2w = 11w
-63 + 11w = -41 + -2w + 2w

Combine like terms: -2w + 2w = 0
-63 + 11w = -41 + 0
-63 + 11w = -41

Add '63' to each side of the equation.
-63 + 63 + 11w = -41 + 63

Combine like terms: -63 + 63 = 0
0 + 11w = -41 + 63
11w = -41 + 63

Combine like terms: -41 + 63 = 22
11w = 22

Divide each side by '11'.
w = 2

Simplifying
w = 2

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