
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
A school originally had a certain number of classrooms, each with the same number of desks, totaling 539 desks. After adding 9 new classrooms, the total number of desks increased to 1080, and the number of desks in each classroom still remained equal but increased. How many classrooms are there now?

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