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-8n+24<n+6
Use the distributive property to multiply -4 by 2n-6.
-8n+24-n<6
Subtract n from both sides.
-9n+24<6
Combine -8n and -n to get -9n.
-9n<6-24
Subtract 24 from both sides.
-9n<-18
Subtract 24 from 6 to get -18.
n>\frac{-18}{-9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.
n>2
Divide -18 by -9 to get 2.