To solve the inequality \( \frac{4 + n}{3} \geq 6 \), follow these steps:
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Eliminate the fraction by multiplying both sides by 3: \[ 4 + n \geq 18 \]
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Isolate \( n \) by subtracting 4 from both sides: \[ n \geq 18 - 4 \] \[ n \geq 14 \]
The solution to the inequality is: \[ n \geq 14 \]