-83=-4(1-5b)+1

Solution for -83=-4(1-5b)+1 equation:

Simplifying
-83 = -4(1 + -5b) + 1
-83 = (1 * -4 + -5b * -4) + 1
-83 = (-4 + 20b) + 1

Reorder the terms:
-83 = -4 + 1 + 20b

Combine like terms: -4 + 1 = -3
-83 = -3 + 20b

Solving
-83 = -3 + 20b

Solving for variable 'b'.

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

Add '-20b' to each side of the equation.
-83 + -20b = -3 + 20b + -20b

Combine like terms: 20b + -20b = 0
-83 + -20b = -3 + 0
-83 + -20b = -3

Add '83' to each side of the equation.
-83 + 83 + -20b = -3 + 83

Combine like terms: -83 + 83 = 0
0 + -20b = -3 + 83
-20b = -3 + 83

Combine like terms: -3 + 83 = 80
-20b = 80

Divide each side by '-20'.
b = -4

Simplifying
b = -4