
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
At a women's quadruples tennis tournament, there are four teams of two women each. After the tournament, women from only the first three teams shook hands, once with each of the women from the other teams except her partner. How many handshakes occurred?

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