Question Can i transfer a SSD with windows 10 already on it to a different PC?

Sep 23, 2018
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Im going to help my brother with an upgrade for his current PC. He has been using a 1tb HDD and im going to give him my 1tb Samsung Evo SSD from an old build i had sitting around. I did a recovery on the ssd, deleting all my old files and games. I also ran the "sysprep" and completed the "OOBE". The PC im transferring to has a HDD with windows 10 on it, however the CD key has never been activated on it. Can i simply take out the old HDD and replace it with the SSD? Should i assume that this will work that simply?