
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
Cora needs to buy 18 identical binders for her class and only has $160. There is a flat $5 entrance fee for shopping at the store where she plans to buy the binders. The price of each binder is the same whole-dollar amount. Assuming an $8\%$ sales tax is added to the price of each binder, what is the greatest possible price (in dollars) of a binder that would allow Cora to buy the binders?

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