
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
John surveyed a group of people about their knowledge of rats. To the nearest tenth of a percent, he found that $75\%$ of the people surveyed thought rats carried diseases. Of the people who thought rats carried diseases, $50\%$ said that rats frequently carried rabies. Since rats do not frequently carry rabies, these 18 people were mistaken. How many total people did John survey?

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