(28b-3)-9(3b+4)=-6

Solution for (28b-3)-9(3b+4)=-6 equation:

Simplifying
(28b + -3) + -9(3b + 4) = -6

Reorder the terms:
(-3 + 28b) + -9(3b + 4) = -6

Remove parenthesis around (-3 + 28b)
-3 + 28b + -9(3b + 4) = -6

Reorder the terms:
-3 + 28b + -9(4 + 3b) = -6
-3 + 28b + (4 * -9 + 3b * -9) = -6
-3 + 28b + (-36 + -27b) = -6

Reorder the terms:
-3 + -36 + 28b + -27b = -6

Combine like terms: -3 + -36 = -39
-39 + 28b + -27b = -6

Combine like terms: 28b + -27b = 1b
-39 + 1b = -6

Solving
-39 + 1b = -6

Solving for variable 'b'.

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

Add '39' to each side of the equation.
-39 + 39 + 1b = -6 + 39

Combine like terms: -39 + 39 = 0
0 + 1b = -6 + 39
1b = -6 + 39

Combine like terms: -6 + 39 = 33
1b = 33

Divide each side by '1'.
b = 33

Simplifying
b = 33