
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
Three friends, Ben, Tom, and Jerry, share a pack of 30 candies. Jerry eats a number of candies that is a positive multiple of the number of candies eaten by Ben. Tom eats twice the number of candies that Ben eats. If the friends finish all 30 candies, then what is the maximum number of candies that Ben could have eaten?

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