
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 $a$ identical balls except for their colors, among which there are only $5$ red balls. After stirring the balls each time, one ball is randomly picked, its color is noted, and then it is put back into the dark box. Through a large number of repeated experiments of picking balls, it is found that the frequency of picking a red ball stabilizes around $20\%$. What is the approximate value of $a$?

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