
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 several red balls of the same material and size. Xiao Ming puts $3$ black balls into the bag (each black ball is identical to the red balls except for color). After shaking the bag evenly, a ball is randomly drawn from the bag each time, the color is recorded, and then put back into the bag. Through a large number of repeated ball-drawing experiments, it is found that the frequency of drawing a red ball stabilizes at around $0.85$. Estimate the number of red balls in the bag.

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