-5b+6(1-b)=83

Solution for -5b+6(1-b)=83 equation:

Simplifying
-5b + 6(1 + -1b) = 83
-5b + (1 * 6 + -1b * 6) = 83
-5b + (6 + -6b) = 83

Reorder the terms:
6 + -5b + -6b = 83

Combine like terms: -5b + -6b = -11b
6 + -11b = 83

Solving
6 + -11b = 83

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + -6 + -11b = 83 + -6

Combine like terms: 6 + -6 = 0
0 + -11b = 83 + -6
-11b = 83 + -6

Combine like terms: 83 + -6 = 77
-11b = 77

Divide each side by '-11'.
b = -7

Simplifying
b = -7