
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
There are 36 students in a high school music program with both band and chorus members. The music program has a performance group which consists of 20% of the band members and 25% of the chorus members. If the performance group has an equal number of band and chorus members, determine the number of band members in the program.

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