
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 homeowner borrowed $22000$ yuan to purchase a machine to produce a certain product. It is known that the cost of the product is $5$ yuan each, the selling price is $8$ yuan each, and the tax and other fees to be paid are $10\%$ of the selling price. If 2000 products can be produced and sold each month, how many months will it take to earn back the loan for the machine?

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