
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 store bought a batch of greeting cards at a price of 2.1 dimes each and sold them for a total of 14.57 yuan. If the selling price per card is the same and does not exceed twice the purchase price, how many dimes did the store earn?

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