
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 barrel containing 200 liters of wine has a certain amount of wine taken out and replaced with water. After the liquids are mixed, 20 liters more than the first amount is taken out and similarly replaced with water. It is now determined that there are only 144 liters of wine left in the barrel. How many liters of wine were taken out the first time from the barrel?

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