5(w-7)=-3w+37

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Solution for 5(w-7)=-3w+37 equation:


Simplifying
5(w + -7) = -3w + 37

Reorder the terms:
5(-7 + w) = -3w + 37
(-7 * 5 + w * 5) = -3w + 37
(-35 + 5w) = -3w + 37

Reorder the terms:
-35 + 5w = 37 + -3w

Solving
-35 + 5w = 37 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
-35 + 5w + 3w = 37 + -3w + 3w

Combine like terms: 5w + 3w = 8w
-35 + 8w = 37 + -3w + 3w

Combine like terms: -3w + 3w = 0
-35 + 8w = 37 + 0
-35 + 8w = 37

Add '35' to each side of the equation.
-35 + 35 + 8w = 37 + 35

Combine like terms: -35 + 35 = 0
0 + 8w = 37 + 35
8w = 37 + 35

Combine like terms: 37 + 35 = 72
8w = 72

Divide each side by '8'.
w = 9

Simplifying
w = 9

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