Janet is right (as always).
SR doesn't care how many computers you use to access your account. It cares how many accounts are accessed from the same computer. Changing your IP is not a good solution.
tech speak: Your public IP address is assigned to you by your ISP. You can't change it without their help in some way. Think of an IP address as your postal address. You can't change your postal address without help from the USPS. You can change your name on the address, but not the physical address. If you have a small home network or a internet router (like a Linksys, Dlink, etc plugged into your internet connection) with an IP address like 192.168.x.x, that is not your "real" IP address and isn't used on the internet.
If you want to know your "real" IP address,
click here
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