
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 30 members of a sports camp is 20 years. There are 10 girls, 15 boys, and 5 coaches. If the average age of the girls is 18 and the average age of the boys is 19, what is the average age of the coaches?

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