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-\frac{10}{7}z<5+5
Add 5 to both sides.
-\frac{10}{7}z<10
Add 5 and 5 to get 10.
z>10\left(-\frac{7}{10}\right)
Multiply both sides by -\frac{7}{10}, the reciprocal of -\frac{10}{7}. Since -\frac{10}{7} is negative, the inequality direction is changed.
z>-7
Cancel out 10 and 10.