6(1+7b)=-33+3b

Solution for 6(1+7b)=-33+3b equation:

Simplifying
6(1 + 7b) = -33 + 3b
(1 * 6 + 7b * 6) = -33 + 3b
(6 + 42b) = -33 + 3b

Solving
6 + 42b = -33 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
6 + 42b + -3b = -33 + 3b + -3b

Combine like terms: 42b + -3b = 39b
6 + 39b = -33 + 3b + -3b

Combine like terms: 3b + -3b = 0
6 + 39b = -33 + 0
6 + 39b = -33

Add '-6' to each side of the equation.
6 + -6 + 39b = -33 + -6

Combine like terms: 6 + -6 = 0
0 + 39b = -33 + -6
39b = -33 + -6

Combine like terms: -33 + -6 = -39
39b = -39

Divide each side by '39'.
b = -1

Simplifying
b = -1