
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
Ten tour guides led ten tour groups through the halls of the Hermitage. The sizes of the groups were not necessarily equal, but on average, each group had 9 people. When one of the groups finished the tour, the average number of people per group decreased to 8. How many people were in the group that finished the tour?

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