
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
The number of girls in a certain orchestra is twice the number of boys. If 24 girls are transferred, the number of boys will be twice the number of girls. What was the total number of boys and girls in the orchestra originally?

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