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-7q\geq 6+1
Add 1 to both sides.
-7q\geq 7
Add 6 and 1 to get 7.
q\leq \frac{7}{-7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.
q\leq -1
Divide 7 by -7 to get -1.