I'm not a cop but please remember that the agreement is one computer per license. Did you save a copy of the files you downloaded? Why not burn those to a disc and use that to install the software on the other computer?
Have you created an account n this site and have you contacted support?
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BoilerPlate: To posters who ask for help -- it is nice to thank the volunteers who try to answer your questions !
Anything I post unless stated with a reference is my personal opinion.