6(1-7b)-3b=7b+58

Solution for 6(1-7b)-3b=7b+58 equation:

Simplifying
6(1 + -7b) + -3b = 7b + 58
(1 * 6 + -7b * 6) + -3b = 7b + 58
(6 + -42b) + -3b = 7b + 58

Combine like terms: -42b + -3b = -45b
6 + -45b = 7b + 58

Reorder the terms:
6 + -45b = 58 + 7b

Solving
6 + -45b = 58 + 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 + -45b + -7b = 58 + 7b + -7b

Combine like terms: -45b + -7b = -52b
6 + -52b = 58 + 7b + -7b

Combine like terms: 7b + -7b = 0
6 + -52b = 58 + 0
6 + -52b = 58

Add '-6' to each side of the equation.
6 + -6 + -52b = 58 + -6

Combine like terms: 6 + -6 = 0
0 + -52b = 58 + -6
-52b = 58 + -6

Combine like terms: 58 + -6 = 52
-52b = 52

Divide each side by '-52'.
b = -1

Simplifying
b = -1