
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
Two milk processing plants must process an equal amount of a certain volume of milk together. The second plant started working $a$ working days later but processed daily $m$ liters more than the first one. After $5a/9$ working days since the start of their joint work, $1/3$ of the entire task remained incomplete. How many working days were required to complete the task if the work was finished simultaneously and each plant processed half of the specified volume of milk?

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