8-7(2-3w)-9w=4(5w-1)-3w-2

Solution for 8-7(2-3w)-9w=4(5w-1)-3w-2 equation:

Simplifying
8 + -7(2 + -3w) + -9w = 4(5w + -1) + -3w + -2
8 + (2 * -7 + -3w * -7) + -9w = 4(5w + -1) + -3w + -2
8 + (-14 + 21w) + -9w = 4(5w + -1) + -3w + -2

Combine like terms: 8 + -14 = -6
-6 + 21w + -9w = 4(5w + -1) + -3w + -2

Combine like terms: 21w + -9w = 12w
-6 + 12w = 4(5w + -1) + -3w + -2

Reorder the terms:
-6 + 12w = 4(-1 + 5w) + -3w + -2
-6 + 12w = (-1 * 4 + 5w * 4) + -3w + -2
-6 + 12w = (-4 + 20w) + -3w + -2

Reorder the terms:
-6 + 12w = -4 + -2 + 20w + -3w

Combine like terms: -4 + -2 = -6
-6 + 12w = -6 + 20w + -3w

Combine like terms: 20w + -3w = 17w
-6 + 12w = -6 + 17w

Add '6' to each side of the equation.
-6 + 6 + 12w = -6 + 6 + 17w

Combine like terms: -6 + 6 = 0
0 + 12w = -6 + 6 + 17w
12w = -6 + 6 + 17w

Combine like terms: -6 + 6 = 0
12w = 0 + 17w
12w = 17w

Solving
12w = 17w

Solving for variable 'w'.

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

Add '-17w' to each side of the equation.
12w + -17w = 17w + -17w

Combine like terms: 12w + -17w = -5w
-5w = 17w + -17w

Combine like terms: 17w + -17w = 0
-5w = 0

Divide each side by '-5'.
w = 0

Simplifying
w = 0