
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 volleyball tournament, there were \( n \) teams from city \( A \) and \( 2n \) teams from city \( B \). Each team played exactly one game with every other team. The ratio of the number of wins by the teams from city \( B \) to the number of wins by the teams from city \( A \) is \( 3:4 \). Find \( n \), given that there were no draws in the tournament.

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