3(3b+1)+b=33

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

Simplifying
3(3b + 1) + b = 33

Reorder the terms:
3(1 + 3b) + b = 33
(1 * 3 + 3b * 3) + b = 33
(3 + 9b) + b = 33

Combine like terms: 9b + b = 10b
3 + 10b = 33

Solving
3 + 10b = 33

Solving for variable 'b'.

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

Add '-3' to each side of the equation.
3 + -3 + 10b = 33 + -3

Combine like terms: 3 + -3 = 0
0 + 10b = 33 + -3
10b = 33 + -3

Combine like terms: 33 + -3 = 30
10b = 30

Divide each side by '10'.
b = 3

Simplifying
b = 3