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Usually the take-up reel is on the right. Some reel->reel machines are bi-directional, but most of the pro-machines run left to right, so the take-up spool is on the right. The other thing which could be a bit confusing if you haven't come across it before is the concept of storing tapes "tails-out", in which case the tape might need to be re-wound before use, in which case, the empty-reel would be put on the left - confused? don't worry, I'm sure there are many experts here who will be only too willing to help you out.
Hope this helps -
- Wil