(13b-9)-3(4b+4)=-5

Solution for (13b-9)-3(4b+4)=-5 equation:

Simplifying
(13b + -9) + -3(4b + 4) = -5

Reorder the terms:
(-9 + 13b) + -3(4b + 4) = -5

Remove parenthesis around (-9 + 13b)
-9 + 13b + -3(4b + 4) = -5

Reorder the terms:
-9 + 13b + -3(4 + 4b) = -5
-9 + 13b + (4 * -3 + 4b * -3) = -5
-9 + 13b + (-12 + -12b) = -5

Reorder the terms:
-9 + -12 + 13b + -12b = -5

Combine like terms: -9 + -12 = -21
-21 + 13b + -12b = -5

Combine like terms: 13b + -12b = 1b
-21 + 1b = -5

Solving
-21 + 1b = -5

Solving for variable 'b'.

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

Add '21' to each side of the equation.
-21 + 21 + 1b = -5 + 21

Combine like terms: -21 + 21 = 0
0 + 1b = -5 + 21
1b = -5 + 21

Combine like terms: -5 + 21 = 16
1b = 16

Divide each side by '1'.
b = 16

Simplifying
b = 16