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16<-8q-10
Combine 9q and -17q to get -8q.
-8q-10>16
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-8q>16+10
Add 10 to both sides.
-8q>26
Add 16 and 10 to get 26.
q<\frac{26}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
q<-\frac{13}{4}
Reduce the fraction \frac{26}{-8} to lowest terms by extracting and canceling out 2.