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5n\geq 8+7
Add 7 to both sides.
5n\geq 15
Add 8 and 7 to get 15.
n\geq \frac{15}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
n\geq 3
Divide 15 by 5 to get 3.