
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
Jack has borrowed $200$ clams from Kim at a $12\%$ simple daily interest. Meanwhile, Lucy has borrowed $300$ clams from Mike at a $6\%$ simple daily interest. In how many days will Jack and Lucy owe the same amounts, assuming that they do not make any repayments during this time?

Revised

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