
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 a chess tournament, there are $n$ junior players and $3n$ senior players, with each participant playing exactly one game against every other player. If there are no draws and the ratio of the number of games won by junior players to the number of games won by senior players is $3/7$, find the value of $n$.

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