-2b-1+8b=3(7b-7)+5(-2b+6)

Solution for -2b-1+8b=3(7b-7)+5(-2b+6) equation:

Simplifying
-2b + -1 + 8b = 3(7b + -7) + 5(-2b + 6)

Reorder the terms:
-1 + -2b + 8b = 3(7b + -7) + 5(-2b + 6)

Combine like terms: -2b + 8b = 6b
-1 + 6b = 3(7b + -7) + 5(-2b + 6)

Reorder the terms:
-1 + 6b = 3(-7 + 7b) + 5(-2b + 6)
-1 + 6b = (-7 * 3 + 7b * 3) + 5(-2b + 6)
-1 + 6b = (-21 + 21b) + 5(-2b + 6)

Reorder the terms:
-1 + 6b = -21 + 21b + 5(6 + -2b)
-1 + 6b = -21 + 21b + (6 * 5 + -2b * 5)
-1 + 6b = -21 + 21b + (30 + -10b)

Reorder the terms:
-1 + 6b = -21 + 30 + 21b + -10b

Combine like terms: -21 + 30 = 9
-1 + 6b = 9 + 21b + -10b

Combine like terms: 21b + -10b = 11b
-1 + 6b = 9 + 11b

Solving
-1 + 6b = 9 + 11b

Solving for variable 'b'.

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

Add '-11b' to each side of the equation.
-1 + 6b + -11b = 9 + 11b + -11b

Combine like terms: 6b + -11b = -5b
-1 + -5b = 9 + 11b + -11b

Combine like terms: 11b + -11b = 0
-1 + -5b = 9 + 0
-1 + -5b = 9

Add '1' to each side of the equation.
-1 + 1 + -5b = 9 + 1

Combine like terms: -1 + 1 = 0
0 + -5b = 9 + 1
-5b = 9 + 1

Combine like terms: 9 + 1 = 10
-5b = 10

Divide each side by '-5'.
b = -2

Simplifying
b = -2