-10(1-7b)+9(10-6b)=8b-8b

Solution for -10(1-7b)+9(10-6b)=8b-8b equation:

Simplifying
-10(1 + -7b) + 9(10 + -6b) = 8b + -8b
(1 * -10 + -7b * -10) + 9(10 + -6b) = 8b + -8b
(-10 + 70b) + 9(10 + -6b) = 8b + -8b
-10 + 70b + (10 * 9 + -6b * 9) = 8b + -8b
-10 + 70b + (90 + -54b) = 8b + -8b

Reorder the terms:
-10 + 90 + 70b + -54b = 8b + -8b

Combine like terms: -10 + 90 = 80
80 + 70b + -54b = 8b + -8b

Combine like terms: 70b + -54b = 16b
80 + 16b = 8b + -8b

Combine like terms: 8b + -8b = 0
80 + 16b = 0

Solving
80 + 16b = 0

Solving for variable 'b'.

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

Add '-80' to each side of the equation.
80 + -80 + 16b = 0 + -80

Combine like terms: 80 + -80 = 0
0 + 16b = 0 + -80
16b = 0 + -80

Combine like terms: 0 + -80 = -80
16b = -80

Divide each side by '16'.
b = -5

Simplifying
b = -5