
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
Pour $a$ liters of water from bucket A slowly into bucket B, and the remaining water in bucket A follows an exponential decay curve $y=ae^{nt}$. Given that after $5$ minutes the water levels in bucket A and bucket B are equal, and after $m$ minutes the water level in bucket A is only $\frac{a}{8}$ liters, calculate the value of $m$.

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