(22b-6)-7(3b+3)=-6

Solution for (22b-6)-7(3b+3)=-6 equation:

Simplifying
(22b + -6) + -7(3b + 3) = -6

Reorder the terms:
(-6 + 22b) + -7(3b + 3) = -6

Remove parenthesis around (-6 + 22b)
-6 + 22b + -7(3b + 3) = -6

Reorder the terms:
-6 + 22b + -7(3 + 3b) = -6
-6 + 22b + (3 * -7 + 3b * -7) = -6
-6 + 22b + (-21 + -21b) = -6

Reorder the terms:
-6 + -21 + 22b + -21b = -6

Combine like terms: -6 + -21 = -27
-27 + 22b + -21b = -6

Combine like terms: 22b + -21b = 1b
-27 + 1b = -6

Solving
-27 + 1b = -6

Solving for variable 'b'.

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

Add '27' to each side of the equation.
-27 + 27 + 1b = -6 + 27

Combine like terms: -27 + 27 = 0
0 + 1b = -6 + 27
1b = -6 + 27

Combine like terms: -6 + 27 = 21
1b = 21

Divide each side by '1'.
b = 21

Simplifying
b = 21