-4w+37=-9(w-8)

Solution for -4w+37=-9(w-8) equation:

Simplifying
-4w + 37 = -9(w + -8)

Reorder the terms:
37 + -4w = -9(w + -8)

Reorder the terms:
37 + -4w = -9(-8 + w)
37 + -4w = (-8 * -9 + w * -9)
37 + -4w = (72 + -9w)

Solving
37 + -4w = 72 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
37 + -4w + 9w = 72 + -9w + 9w

Combine like terms: -4w + 9w = 5w
37 + 5w = 72 + -9w + 9w

Combine like terms: -9w + 9w = 0
37 + 5w = 72 + 0
37 + 5w = 72

Add '-37' to each side of the equation.
37 + -37 + 5w = 72 + -37

Combine like terms: 37 + -37 = 0
0 + 5w = 72 + -37
5w = 72 + -37

Combine like terms: 72 + -37 = 35
5w = 35

Divide each side by '5'.
w = 7

Simplifying
w = 7