37=7w+5(w-7)

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


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

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

Reorder the terms:
37 = -35 + 7w + 5w

Combine like terms: 7w + 5w = 12w
37 = -35 + 12w

Solving
37 = -35 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
37 + -12w = -35 + 12w + -12w

Combine like terms: 12w + -12w = 0
37 + -12w = -35 + 0
37 + -12w = -35

Add '-37' to each side of the equation.
37 + -37 + -12w = -35 + -37

Combine like terms: 37 + -37 = 0
0 + -12w = -35 + -37
-12w = -35 + -37

Combine like terms: -35 + -37 = -72
-12w = -72

Divide each side by '-12'.
w = 6

Simplifying
w = 6

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