As you can install and activate Creative Cloud desktop applications on two computers,regardless of operating system, for the individual associated with the Creative Cloud membership, according to the following link:
So, you will have to download and install the applications on your new machine. You can refer the below mentioned link to:
Let us know if it helps,
Welcome to Adobe Forum,
The CC has been activated twice. If you are trying to install & activate it on third machine or re-install, you need to deactivate it from one of the computer.
To deactivate, please follow the steps in http://helpx.adobe.com/x-productkb/policy-pricing/activation-deactivation-products.html#de activate-problem
Since they can not be accessed, please download, install & try to activate, while activating for third machine, it will provide an option to deactivate from previous machine, please click on that option, it will let you activate it on the third machine.
Please let us know if it worked.