La'Shondra solves the inequality 6 + 3x <_ 24. She begins by subtracting 6 from both sides of the inequality and then divides both sides of the equivalent inequality by a number. What is the number?

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1 answer

To solve the inequality \( 6 + 3x \leq 24 \), La'Shondra starts by subtracting 6 from both sides. This gives:

\[ 3x \leq 24 - 6 \]

Calculating the right side:

\[ 3x \leq 18 \]

Next, to isolate \( x \), she will divide both sides of the inequality by 3.

The number she divides by is:

\[ 3 \]

So, the answer is \( \boxed{3} \).