
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
A school welcoming a conference is forming a ceremonial team consisting of 48 boys and 32 girls. They need to be arranged in $n$ rows $(n>1)$, such that the number of boys and girls in each row is equal. How many different ways can this arrangement be done? How many boys and girls are there in each row for each arrangement?

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