-6b+2(1-7b)=82

Solution for -6b+2(1-7b)=82 equation:

Simplifying
-6b + 2(1 + -7b) = 82
-6b + (1 * 2 + -7b * 2) = 82
-6b + (2 + -14b) = 82

Reorder the terms:
2 + -6b + -14b = 82

Combine like terms: -6b + -14b = -20b
2 + -20b = 82

Solving
2 + -20b = 82

Solving for variable 'b'.

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

Add '-2' to each side of the equation.
2 + -2 + -20b = 82 + -2

Combine like terms: 2 + -2 = 0
0 + -20b = 82 + -2
-20b = 82 + -2

Combine like terms: 82 + -2 = 80
-20b = 80

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

Simplifying
b = -4