
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 car dealer sold an average of 7 cars per day over a certain period. Ignoring the day with the lowest sales, the average number of cars sold on the remaining days was 8. Excluding the day with the highest sales, this number was 5. Finally, if neither the day with the lowest nor the day with the highest sales is considered, the daily average becomes 5.75.

How many cars did the dealer sell during this period?

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