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-40-6n<-3n+20
Subtract 20 from -20 to get -40.
-40-6n+3n<20
Add 3n to both sides.
-40-3n<20
Combine -6n and 3n to get -3n.
-3n<20+40
Add 40 to both sides.
-3n<60
Add 20 and 40 to get 60.
n>\frac{60}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
n>-20
Divide 60 by -3 to get -20.