9(b-6)-(1-3b)=-55

Solution for 9(b-6)-(1-3b)=-55 equation:

Simplifying
9(b + -6) + -1(1 + -3b) = -55

Reorder the terms:
9(-6 + b) + -1(1 + -3b) = -55
(-6 * 9 + b * 9) + -1(1 + -3b) = -55
(-54 + 9b) + -1(1 + -3b) = -55
-54 + 9b + (1 * -1 + -3b * -1) = -55
-54 + 9b + (-1 + 3b) = -55

Reorder the terms:
-54 + -1 + 9b + 3b = -55

Combine like terms: -54 + -1 = -55
-55 + 9b + 3b = -55

Combine like terms: 9b + 3b = 12b
-55 + 12b = -55

Add '55' to each side of the equation.
-55 + 55 + 12b = -55 + 55

Combine like terms: -55 + 55 = 0
0 + 12b = -55 + 55
12b = -55 + 55

Combine like terms: -55 + 55 = 0
12b = 0

Solving
12b = 0

Solving for variable 'b'.

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

Divide each side by '12'.
b = 0

Simplifying
b = 0