
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
From a group of boys and girls, $20$ girls leave. There are then three boys for each girl left. Afterwards, $30$ boys leave. There are then $3$ girls for each boy left. Find the initial number of girls.
**A)** 30  **B)** 31  **C)** 32  **D)** 33  **E)** None of these

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