(28b-5)-9(3b+4)=-7

Solution for (28b-5)-9(3b+4)=-7 equation:

Simplifying
(28b + -5) + -9(3b + 4) = -7

Reorder the terms:
(-5 + 28b) + -9(3b + 4) = -7

Remove parenthesis around (-5 + 28b)
-5 + 28b + -9(3b + 4) = -7

Reorder the terms:
-5 + 28b + -9(4 + 3b) = -7
-5 + 28b + (4 * -9 + 3b * -9) = -7
-5 + 28b + (-36 + -27b) = -7

Reorder the terms:
-5 + -36 + 28b + -27b = -7

Combine like terms: -5 + -36 = -41
-41 + 28b + -27b = -7

Combine like terms: 28b + -27b = 1b
-41 + 1b = -7

Solving
-41 + 1b = -7

Solving for variable 'b'.

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

Add '41' to each side of the equation.
-41 + 41 + 1b = -7 + 41

Combine like terms: -41 + 41 = 0
0 + 1b = -7 + 41
1b = -7 + 41

Combine like terms: -7 + 41 = 34
1b = 34

Divide each side by '1'.
b = 34

Simplifying
b = 34