
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
In a community club, the average age of the 12 women is 32 years, the average age of the 18 men is 38 years, and the average age of the 10 children is 10 years. What is the average age of all the people in the club?

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