Why would someone give you the answer if you are in detention? I will tell you the first step which is to get rid of the -3 by adding positive three to both sides of the equation. Then from there, you should know what to do! Pay attention in class, and stop giving your teacher trouble!
5(n + 27) >= 6(n + 26)
5n + 135 >= 6n + 156
-n >= 21
n <= -21