-9(w+1)=2w+46

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Solution for -9(w+1)=2w+46 equation:


Simplifying
-9(w + 1) = 2w + 46

Reorder the terms:
-9(1 + w) = 2w + 46
(1 * -9 + w * -9) = 2w + 46
(-9 + -9w) = 2w + 46

Reorder the terms:
-9 + -9w = 46 + 2w

Solving
-9 + -9w = 46 + 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.
-9 + -9w + -2w = 46 + 2w + -2w

Combine like terms: -9w + -2w = -11w
-9 + -11w = 46 + 2w + -2w

Combine like terms: 2w + -2w = 0
-9 + -11w = 46 + 0
-9 + -11w = 46

Add '9' to each side of the equation.
-9 + 9 + -11w = 46 + 9

Combine like terms: -9 + 9 = 0
0 + -11w = 46 + 9
-11w = 46 + 9

Combine like terms: 46 + 9 = 55
-11w = 55

Divide each side by '-11'.
w = -5

Simplifying
w = -5

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