
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
Before the lesson, Nestor Petrovich wrote several words on the board. When the bell rang for the lesson, he noticed a mistake in the first word. If he corrects the mistake in the first word, the words with mistakes will constitute $24\%$, and if he erases the first word from the board, the words with mistakes will constitute $25\%$. What percentage of the total number of written words were words with mistakes before the bell rang for the lesson?

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