Let's solve the inequality step by step:
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Start with the inequality: \[ 6 + 3x \leq 24 \]
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Subtract 6 from both sides: \[ 3x \leq 24 - 6 \] \[ 3x \leq 18 \]
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Now, to isolate \(x\), La'Shondra needs to divide both sides of the inequality by 3: \[ x \leq \frac{18}{3} \] \[ x \leq 6 \]
Thus, the number that La'Shondra divides by is 3.