
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
Let people divide $90$ dollars equally, with each person receiving a certain amount. If another $6$ people are added and $120$ dollars are divided equally, then each person receives the same amount as the first time. Find the number of people who divide the money the second time.

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