-17-20+20w=w-3(-8w-1)

Solution for -17-20+20w=w-3(-8w-1) equation:

Simplifying
-17 + -20 + 20w = w + -3(-8w + -1)

Combine like terms: -17 + -20 = -37
-37 + 20w = w + -3(-8w + -1)

Reorder the terms:
-37 + 20w = w + -3(-1 + -8w)
-37 + 20w = w + (-1 * -3 + -8w * -3)
-37 + 20w = w + (3 + 24w)

Reorder the terms:
-37 + 20w = 3 + w + 24w

Combine like terms: w + 24w = 25w
-37 + 20w = 3 + 25w

Solving
-37 + 20w = 3 + 25w

Solving for variable 'w'.

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

Add '-25w' to each side of the equation.
-37 + 20w + -25w = 3 + 25w + -25w

Combine like terms: 20w + -25w = -5w
-37 + -5w = 3 + 25w + -25w

Combine like terms: 25w + -25w = 0
-37 + -5w = 3 + 0
-37 + -5w = 3

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

Combine like terms: -37 + 37 = 0
0 + -5w = 3 + 37
-5w = 3 + 37

Combine like terms: 3 + 37 = 40
-5w = 40

Divide each side by '-5'.
w = -8

Simplifying
w = -8