I performed some edits on a photo on one computer and would like to transfer those edits to the photo that exists on another computer. How do I do that?
You can create a preset of the edit that you made and then you can install the preset on Lightroom that is installed on other machine.
You can simply apply that preset to that image and that will work.
How to create custom preset in Lightroom : Adobe Photoshop Lightroom 4 * Create and apply Develop presets
How to transfer preset from one machine to another : 3 Steps to Transfer Your Pretty Presets to a New Computer | Pretty Presets for Lightroom
Thanks for the fast response. That's a simple solution I hadn't thought of. I appreciate the help.