Think of it as associations. The Id column presumable is an Id of a person, or a business process, or a software package or something. That Id (in your example, 71E1E177-4621-4AB6-8145-07B506ABDFFC) is currently associated with (or assigned) , organization B2015F8B-9AA6-4589-9346-3C929181C719. You want to associate a different organization with that Id. So you want to update the organization column for the Id.
The code that @djj55 posted will do that. He has a rollback statement there - which is there just so you can revert the changes if you needed to. So I would try this:
SET OrganizationId = '7F1BDC6F-CFF9-4181-85F4-AFD223EC51D8'
WHERE ID = '71E1E177-4621-4AB6-8145-07B506ABDFFC';
SELECT * FROM YourTAble WHERE ID = '71E1E177-4621-4AB6-8145-07B506ABDFFC';
Run that and verify that the organization id has been updated correctly. If you are satisfied and want to keep the updated version run this:
If you don't want it, and want to revert the change, run this:
Be sure to run either the rollback or the commit.