
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
The average age of the 12 females in a dance group is 25 years. The average age of the 18 males in the same group is 40 years. What is the average age, in years, of all 30 people in the dance group?

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