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\frac{-132}{12}>n+9
Divide both sides by 12. Since 12 is positive, the inequality direction remains the same.
-11>n+9
Divide -132 by 12 to get -11.
n+9<-11
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
n<-11-9
Subtract 9 from both sides.
n<-20
Subtract 9 from -11 to get -20.