
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 an opaque bag, there are $n$ white balls. In order to estimate the number of white balls, $3$ red balls are added to the bag, which are identical to the white balls except for their color. After multiple ball-drawing experiments, it is found that the frequency of drawing red balls stabilizes around $10\%$. Find the value of $n$.

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