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-12\times 7>6u
Multiply both sides by 7. Since 7 is positive, the inequality direction remains the same.
-84>6u
Multiply -12 and 7 to get -84.
6u<-84
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
u<\frac{-84}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
u<-14
Divide -84 by 6 to get -14.