
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 certain type of clothing sells an average of 20 pieces per day, with a profit of 44 yuan per piece. If the price of each piece is reduced by 1 yuan, 5 more pieces can be sold per day. If the goal is to make a profit of 1600 yuan per day, by how much should the price of each piece be reduced?

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