-7b+3(1-b)=83

Solution for -7b+3(1-b)=83 equation:

Simplifying
-7b + 3(1 + -1b) = 83
-7b + (1 * 3 + -1b * 3) = 83
-7b + (3 + -3b) = 83

Reorder the terms:
3 + -7b + -3b = 83

Combine like terms: -7b + -3b = -10b
3 + -10b = 83

Solving
3 + -10b = 83

Solving for variable 'b'.

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

Add '-3' to each side of the equation.
3 + -3 + -10b = 83 + -3

Combine like terms: 3 + -3 = 0
0 + -10b = 83 + -3
-10b = 83 + -3

Combine like terms: 83 + -3 = 80
-10b = 80

Divide each side by '-10'.
b = -8

Simplifying
b = -8