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-2q-14-9q\leq -12
Use the distributive property to multiply -2 by q+7.
-11q-14\leq -12
Combine -2q and -9q to get -11q.
-11q\leq -12+14
Add 14 to both sides.
-11q\leq 2
Add -12 and 14 to get 2.
q\geq -\frac{2}{11}
Divide both sides by -11. Since -11 is negative, the inequality direction is changed.