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Originally posted by: TheSessler
I know that, but in the films they both had "-A" on their Hulls didn't they, even though they were slightly different ships? Or do I need to go rewatch them again?
No, and yes.
The refit Enterprise was the same ship from TOS, until it was destroyed in Star Trek 3. In Star Trek 4, the crew was given a new ship of the same design, but to differentiate between the old and new Enterprise, "-A" was added to the registry number.