3(3b-2)-7b=-32

Solution for 3(3b-2)-7b=-32 equation:

Simplifying
3(3b + -2) + -7b = -32

Reorder the terms:
3(-2 + 3b) + -7b = -32
(-2 * 3 + 3b * 3) + -7b = -32
(-6 + 9b) + -7b = -32

Combine like terms: 9b + -7b = 2b
-6 + 2b = -32

Solving
-6 + 2b = -32

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 2b = -32 + 6

Combine like terms: -6 + 6 = 0
0 + 2b = -32 + 6
2b = -32 + 6

Combine like terms: -32 + 6 = -26
2b = -26

Divide each side by '2'.
b = -13

Simplifying
b = -13