
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 the ancient Chinese mathematical book "Nine Chapters on the Mathematical Art," there is a problem that goes like this: "A group of people collectively buy an item. If each person contributes 8 coins, there will be 3 coins left over. If each person contributes 7 coins, there will be 4 coins short. What are the numbers of people and the price of the item?" The number of people in this problem is ______.

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