59-(7b-1)=100

Solution for 59-(7b-1)=100 equation:

Simplifying
59 + -1(7b + -1) = 100

Reorder the terms:
59 + -1(-1 + 7b) = 100
59 + (-1 * -1 + 7b * -1) = 100
59 + (1 + -7b) = 100

Combine like terms: 59 + 1 = 60
60 + -7b = 100

Solving
60 + -7b = 100

Solving for variable 'b'.

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

Add '-60' to each side of the equation.
60 + -60 + -7b = 100 + -60

Combine like terms: 60 + -60 = 0
0 + -7b = 100 + -60
-7b = 100 + -60

Combine like terms: 100 + -60 = 40
-7b = 40

Divide each side by '-7'.
b = -5.714285714

Simplifying
b = -5.714285714