
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
Given Emily converts her $e$ U.S. dollars into Euros at an exchange bureau that offers $5$ Euros for every $4$ U.S. dollars, and after spending $75$ Euros she has exactly half of her original amount of U.S. dollars converted into Euros, calculate the value of $e$.

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