-3(w-5)=-7w+31

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Solution for -3(w-5)=-7w+31 equation:


Simplifying
-3(w + -5) = -7w + 31

Reorder the terms:
-3(-5 + w) = -7w + 31
(-5 * -3 + w * -3) = -7w + 31
(15 + -3w) = -7w + 31

Reorder the terms:
15 + -3w = 31 + -7w

Solving
15 + -3w = 31 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
15 + -3w + 7w = 31 + -7w + 7w

Combine like terms: -3w + 7w = 4w
15 + 4w = 31 + -7w + 7w

Combine like terms: -7w + 7w = 0
15 + 4w = 31 + 0
15 + 4w = 31

Add '-15' to each side of the equation.
15 + -15 + 4w = 31 + -15

Combine like terms: 15 + -15 = 0
0 + 4w = 31 + -15
4w = 31 + -15

Combine like terms: 31 + -15 = 16
4w = 16

Divide each side by '4'.
w = 4

Simplifying
w = 4

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