
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
To prepare a solution, a double dilution was performed. Initially, a bucket with a volume of $V$ liters was filled with pure solution. After pouring out $10$ liters of the solution for the first time and refilling it with water, the mixture was stirred evenly. Then, $8$ liters were poured out for the second time and refilled with water. If at this point the content of pure solution in the bucket does not exceed $60\%$ of the volume, then the maximum value of $V$ is ______.

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