
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 wholesale market during the Spring Festival purchased a large number of New Year's greeting cards. One type of greeting card can sell an average of 500 cards per day, with a profit of $0.3$ yuan per card. In order to reduce inventory quickly, the stall owner decided to take appropriate price reduction measures. A survey found that if the selling price of this type of greeting card is reduced by $0.05$ yuan, an average of 200 more cards can be sold per day. The stall owner wants to make an average daily profit of $180$ yuan. How much should the price of each greeting card be reduced by?

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