111=-7(b-8)-1

Solution for 111=-7(b-8)-1 equation:

Simplifying
111 = -7(b + -8) + -1

Reorder the terms:
111 = -7(-8 + b) + -1
111 = (-8 * -7 + b * -7) + -1
111 = (56 + -7b) + -1

Reorder the terms:
111 = 56 + -1 + -7b

Combine like terms: 56 + -1 = 55
111 = 55 + -7b

Solving
111 = 55 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
111 + 7b = 55 + -7b + 7b

Combine like terms: -7b + 7b = 0
111 + 7b = 55 + 0
111 + 7b = 55

Add '-111' to each side of the equation.
111 + -111 + 7b = 55 + -111

Combine like terms: 111 + -111 = 0
0 + 7b = 55 + -111
7b = 55 + -111

Combine like terms: 55 + -111 = -56
7b = -56

Divide each side by '7'.
b = -8

Simplifying
b = -8