
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
At a teachers' gathering, there were 12 more female teachers than male teachers. A teacher is randomly selected to perform a show. If the probability of selecting a male teacher is $\frac{9}{20}$, then the total number of teachers attending the gathering is __________.

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