To solve the inequality \( \frac{4 + n}{3} \leq 6 \), follow these steps:
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Eliminate the fraction: Multiply both sides of the inequality by 3 (since 3 is positive, the direction of the inequality remains the same).
\[ 4 + n \leq 18 \]
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Isolate \( n \): Subtract 4 from both sides.
\[ n \leq 14 \]
So the solution to the inequality \( \frac{4 + n}{3} \leq 6 \) is
\[ n \leq 14. \]