
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
There are 96 matches divided into three piles. First, take from the first pile the same number of matches as in the second pile and add them to the second pile. Then, take from the second pile the same number of matches as in the third pile and add them to the third pile. Finally, take from the third pile the same number of matches as in the first pile and add them to the first pile. At this point, all three piles have the same number of matches. Determine how many matches were originally in the first pile, second pile, and third pile.

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