Will uninstalling Windows 8 from an hdd to put it on an ssd with a fresh install cause problems?

I want to uninstall Windows 8 which I have an installation disc and product key with that is already on my Hdd so I can move the operating system to my SSD. Will this cause problems with the activation of the product key or am I good to go if I completely uninstall it from the hdd and then put the same OS with the... show more I want to uninstall Windows 8 which I have an installation disc and product key with that is already on my Hdd so I can move the operating system to my SSD. Will this cause problems with the activation of the product key or am I good to go if I completely uninstall it from the hdd and then put the same OS with the same product key on my new ssd?
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