9(b-11)-9(5-b)=7b-b

Solution for 9(b-11)-9(5-b)=7b-b equation:

Simplifying
9(b + -11) + -9(5 + -1b) = 7b + -1b

Reorder the terms:
9(-11 + b) + -9(5 + -1b) = 7b + -1b
(-11 * 9 + b * 9) + -9(5 + -1b) = 7b + -1b
(-99 + 9b) + -9(5 + -1b) = 7b + -1b
-99 + 9b + (5 * -9 + -1b * -9) = 7b + -1b
-99 + 9b + (-45 + 9b) = 7b + -1b

Reorder the terms:
-99 + -45 + 9b + 9b = 7b + -1b

Combine like terms: -99 + -45 = -144
-144 + 9b + 9b = 7b + -1b

Combine like terms: 9b + 9b = 18b
-144 + 18b = 7b + -1b

Combine like terms: 7b + -1b = 6b
-144 + 18b = 6b

Solving
-144 + 18b = 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-144 + 18b + -6b = 6b + -6b

Combine like terms: 18b + -6b = 12b
-144 + 12b = 6b + -6b

Combine like terms: 6b + -6b = 0
-144 + 12b = 0

Add '144' to each side of the equation.
-144 + 144 + 12b = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 12b = 0 + 144
12b = 0 + 144

Combine like terms: 0 + 144 = 144
12b = 144

Divide each side by '12'.
b = 12

Simplifying
b = 12