
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 merchant sold two pieces of clothing in one transaction, making a profit of $20\%$ on one piece and a loss of $20\%$ on the other. Both were sold for $180$ yuan each. In this transaction, the merchant lost ______ yuan.

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