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6n\leq 27+15
Add 15 to both sides.
6n\leq 42
Add 27 and 15 to get 42.
n\leq \frac{42}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
n\leq 7
Divide 42 by 6 to get 7.