
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
120 K was distributed among the poor. If the number of poor people were 10 less, each would receive exactly as much more as they would receive less if the number of poor people were 20 more. How many poor people were there?

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