-6(7b-7)+b=83

Solution for -6(7b-7)+b=83 equation:

Simplifying
-6(7b + -7) + b = 83

Reorder the terms:
-6(-7 + 7b) + b = 83
(-7 * -6 + 7b * -6) + b = 83
(42 + -42b) + b = 83

Combine like terms: -42b + b = -41b
42 + -41b = 83

Solving
42 + -41b = 83

Solving for variable 'b'.

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

Add '-42' to each side of the equation.
42 + -42 + -41b = 83 + -42

Combine like terms: 42 + -42 = 0
0 + -41b = 83 + -42
-41b = 83 + -42

Combine like terms: 83 + -42 = 41
-41b = 41

Divide each side by '-41'.
b = -1

Simplifying
b = -1