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

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


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

Reorder the terms:
-3(-7 + w) = -5w + 37
(-7 * -3 + w * -3) = -5w + 37
(21 + -3w) = -5w + 37

Reorder the terms:
21 + -3w = 37 + -5w

Solving
21 + -3w = 37 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
21 + -3w + 5w = 37 + -5w + 5w

Combine like terms: -3w + 5w = 2w
21 + 2w = 37 + -5w + 5w

Combine like terms: -5w + 5w = 0
21 + 2w = 37 + 0
21 + 2w = 37

Add '-21' to each side of the equation.
21 + -21 + 2w = 37 + -21

Combine like terms: 21 + -21 = 0
0 + 2w = 37 + -21
2w = 37 + -21

Combine like terms: 37 + -21 = 16
2w = 16

Divide each side by '2'.
w = 8

Simplifying
w = 8

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