(28b-6)-9(3b+4)=-5

Solution for (28b-6)-9(3b+4)=-5 equation:

Simplifying
(28b + -6) + -9(3b + 4) = -5

Reorder the terms:
(-6 + 28b) + -9(3b + 4) = -5

Remove parenthesis around (-6 + 28b)
-6 + 28b + -9(3b + 4) = -5

Reorder the terms:
-6 + 28b + -9(4 + 3b) = -5
-6 + 28b + (4 * -9 + 3b * -9) = -5
-6 + 28b + (-36 + -27b) = -5

Reorder the terms:
-6 + -36 + 28b + -27b = -5

Combine like terms: -6 + -36 = -42
-42 + 28b + -27b = -5

Combine like terms: 28b + -27b = 1b
-42 + 1b = -5

Solving
-42 + 1b = -5

Solving for variable 'b'.

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

Add '42' to each side of the equation.
-42 + 42 + 1b = -5 + 42

Combine like terms: -42 + 42 = 0
0 + 1b = -5 + 42
1b = -5 + 42

Combine like terms: -5 + 42 = 37
1b = 37

Divide each side by '1'.
b = 37

Simplifying
b = 37