
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
Emily is organizing a dinner for three other couples, her husband, and herself. She plans to seat the four couples around a circular table for 8, ensuring that each wife is seated next to her husband. How many different seating arrangements can she make, if rotations of the seating arrangement are not considered different, but reflections are considered different?

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