6(1+7b)=-28+8b

Solution for 6(1+7b)=-28+8b equation:

Simplifying
6(1 + 7b) = -28 + 8b
(1 * 6 + 7b * 6) = -28 + 8b
(6 + 42b) = -28 + 8b

Solving
6 + 42b = -28 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
6 + 42b + -8b = -28 + 8b + -8b

Combine like terms: 42b + -8b = 34b
6 + 34b = -28 + 8b + -8b

Combine like terms: 8b + -8b = 0
6 + 34b = -28 + 0
6 + 34b = -28

Add '-6' to each side of the equation.
6 + -6 + 34b = -28 + -6

Combine like terms: 6 + -6 = 0
0 + 34b = -28 + -6
34b = -28 + -6

Combine like terms: -28 + -6 = -34
34b = -34

Divide each side by '34'.
b = -1

Simplifying
b = -1