
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a dark box, there are $n$ red balls, $18$ yellow balls, and $9$ white balls, all of which are identical except for their colors. After mixing the balls in the box, one ball is randomly picked, its color is noted, and then it is put back into the box. Through a large number of repeated experiments, it is found that the frequency of picking a yellow ball stabilizes around $30\%$. Based on this information, the estimated value of $n$ is ____.

Present the answer in LaTex format: \boxed{Your answer}
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