
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
Initially, there were 20 balls of three colors in a box: white, blue, and red. If we double the number of blue balls, then the probability of drawing a white ball will decrease by $\frac{1}{25}$. If we remove all the white balls, the probability of drawing a blue ball will increase by $\frac{1}{16}$ compared to the initial probability of drawing a blue ball. How many white balls were in the box?

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