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n+7-5n<-8
Subtract 5n from both sides.
-4n+7<-8
Combine n and -5n to get -4n.
-4n<-8-7
Subtract 7 from both sides.
-4n<-15
Subtract 7 from -8 to get -15.
n>\frac{-15}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
n>\frac{15}{4}
Fraction \frac{-15}{-4} can be simplified to \frac{15}{4} by removing the negative sign from both the numerator and the denominator.