Thank you for contacting Microsoft Customer Service. My name is Sarah and I would like to address your enquiry regarding on Microsoft Windows 7 License.
Based on your email, you mentioned that your motherboard had problem so you may replace the whole unit. You would like to know whether your Windows 7 License may be transferred to the new computer. If this is not correct, please let me know.
Based on the Product Key given;
XXX_XXX_XXX_XXXX
You are having Windows 7 Home Premium OEM.
If you are having an OEM (Original Equipment Manufacturer) license, you would not be able to transfer the license to another computer, particularly with a different motherboard, if you would like to use the same license , you need to purchase a new license for the other computer