(9b-5)-2(4b+4)=-7

Solution for (9b-5)-2(4b+4)=-7 equation:

Simplifying
(9b + -5) + -2(4b + 4) = -7

Reorder the terms:
(-5 + 9b) + -2(4b + 4) = -7

Remove parenthesis around (-5 + 9b)
-5 + 9b + -2(4b + 4) = -7

Reorder the terms:
-5 + 9b + -2(4 + 4b) = -7
-5 + 9b + (4 * -2 + 4b * -2) = -7
-5 + 9b + (-8 + -8b) = -7

Reorder the terms:
-5 + -8 + 9b + -8b = -7

Combine like terms: -5 + -8 = -13
-13 + 9b + -8b = -7

Combine like terms: 9b + -8b = 1b
-13 + 1b = -7

Solving
-13 + 1b = -7

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = -7 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -7 + 13
1b = -7 + 13

Combine like terms: -7 + 13 = 6
1b = 6

Divide each side by '1'.
b = 6

Simplifying
b = 6