Simplify this algebraic equation, show your work.
55-6(3b-1)=-11

First distribute -6 to 3b and -1. 

-6(3b - 1) = -18b+6

So now you have 55 -18b + 6 = -11. Now you want to start isolating to solve for b. Subtract 6 from both sides.

55 -18b + 6 = -11
               -6     -6

Now you have 55 -18b = -17. Then subtract 55 from both sides.

 55-18b = -17
-55            -55

That leaves you with -18b = -72. Now divide both sides by -18 to solve for b. Remember that a negative divided by a negative gives you a positive.

-18b ÷-18 = -72 ÷ -18

Leaves you with b = 4. Now plug 4 back into the equation for b to see if it's true. 55 - 6(3(4)-1) = -11. It works, so it's true.