
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 dance troupe, the average age of the 12 females is 25 years. The average age of the 18 males is 30 years. What is the average age, in years, of all 30 people in the troupe?

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