
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 that 63 students are wearing green shirts, 69 students are wearing red shirts, and there are 132 students in total, and the students are grouped into 66 pairs with exactly 27 pairs consisting of students wearing green shirts, determine how many pairs are composed of students both wearing red shirts.

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