-9(w-4)=-4w+31

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Solution for -9(w-4)=-4w+31 equation: 


Simplifying
-9(w + -4) = -4w + 31

Reorder the terms:
-9(-4 + w) = -4w + 31
(-4 * -9 + w * -9) = -4w + 31
(36 + -9w) = -4w + 31

Reorder the terms:
36 + -9w = 31 + -4w

Solving
36 + -9w = 31 + -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.
36 + -9w + 4w = 31 + -4w + 4w

Combine like terms: -9w + 4w = -5w
36 + -5w = 31 + -4w + 4w

Combine like terms: -4w + 4w = 0
36 + -5w = 31 + 0
36 + -5w = 31

Add '-36' to each side of the equation.
36 + -36 + -5w = 31 + -36

Combine like terms: 36 + -36 = 0
0 + -5w = 31 + -36
-5w = 31 + -36

Combine like terms: 31 + -36 = -5
-5w = -5

Divide each side by '-5'.
w = 1

Simplifying
w = 1

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