
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
An opaque bag contains several red balls, and Xiao Ming adds 10 black balls, all of which are identical except for their colors. After mixing the balls in the bag evenly, one ball is randomly drawn from it, the color is noted, and then the ball is put back into the bag. After repeating this process continuously, it is found that the frequency of drawing a black ball stabilizes at around 0.4. Estimate the number of red balls in the bag to be ______.

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