3(-4b+2)=1-7b

Solution for 3(-4b+2)=1-7b equation:

Simplifying
3(-4b + 2) = 1 + -7b

Reorder the terms:
3(2 + -4b) = 1 + -7b
(2 * 3 + -4b * 3) = 1 + -7b
(6 + -12b) = 1 + -7b

Solving
6 + -12b = 1 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
6 + -12b + 7b = 1 + -7b + 7b

Combine like terms: -12b + 7b = -5b
6 + -5b = 1 + -7b + 7b

Combine like terms: -7b + 7b = 0
6 + -5b = 1 + 0
6 + -5b = 1

Add '-6' to each side of the equation.
6 + -6 + -5b = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5b = 1 + -6
-5b = 1 + -6

Combine like terms: 1 + -6 = -5
-5b = -5

Divide each side by '-5'.
b = 1

Simplifying
b = 1