
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 paper bag, there are 100 small balls of black and white colors. In order to estimate the number of balls of each color, a ball is randomly drawn from the bag after mixing the balls and its color is noted. The ball is then put back into the bag, and this process is repeated multiple times. It is found that the frequency of drawing a black ball stabilizes at 0.65. Based on this, the estimated number of black balls is approximately ______.

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