(22b-9)-7(3b+4)=-6

Solution for (22b-9)-7(3b+4)=-6 equation:

Simplifying
(22b + -9) + -7(3b + 4) = -6

Reorder the terms:
(-9 + 22b) + -7(3b + 4) = -6

Remove parenthesis around (-9 + 22b)
-9 + 22b + -7(3b + 4) = -6

Reorder the terms:
-9 + 22b + -7(4 + 3b) = -6
-9 + 22b + (4 * -7 + 3b * -7) = -6
-9 + 22b + (-28 + -21b) = -6

Reorder the terms:
-9 + -28 + 22b + -21b = -6

Combine like terms: -9 + -28 = -37
-37 + 22b + -21b = -6

Combine like terms: 22b + -21b = 1b
-37 + 1b = -6

Solving
-37 + 1b = -6

Solving for variable 'b'.

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

Add '37' to each side of the equation.
-37 + 37 + 1b = -6 + 37

Combine like terms: -37 + 37 = 0
0 + 1b = -6 + 37
1b = -6 + 37

Combine like terms: -6 + 37 = 31
1b = 31

Divide each side by '1'.
b = 31

Simplifying
b = 31