83=2(-6b+1)-3

Solution for 83=2(-6b+1)-3 equation:

Simplifying
83 = 2(-6b + 1) + -3

Reorder the terms:
83 = 2(1 + -6b) + -3
83 = (1 * 2 + -6b * 2) + -3
83 = (2 + -12b) + -3

Reorder the terms:
83 = 2 + -3 + -12b

Combine like terms: 2 + -3 = -1
83 = -1 + -12b

Solving
83 = -1 + -12b

Solving for variable 'b'.

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

Add '12b' to each side of the equation.
83 + 12b = -1 + -12b + 12b

Combine like terms: -12b + 12b = 0
83 + 12b = -1 + 0
83 + 12b = -1

Add '-83' to each side of the equation.
83 + -83 + 12b = -1 + -83

Combine like terms: 83 + -83 = 0
0 + 12b = -1 + -83
12b = -1 + -83

Combine like terms: -1 + -83 = -84
12b = -84

Divide each side by '12'.
b = -7

Simplifying
b = -7