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9-6b>21
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-6b>21-9
Subtract 9 from both sides.
-6b>12
Subtract 9 from 21 to get 12.
b<\frac{12}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
b<-2
Divide 12 by -6 to get -2.