Solution 1:

If you want to do what you propose, then you are correct.

While using gdisk, you can the check GUID Partition Table (GPT) by entering the P command. After you enter the N command to change the Master Boot Record (MBR) table, you can again enter the P command. You will see the GPT is unchanged. To see the changes to the MBR table, you will need to enter the following command before and after using gdisk.

sudo  fdisk  /dev/disk0

But, you do not want to do this for a 2010 MacBook Pro.

The 13-inch, mid 2010 MacBook Pro should install Windows 10 using the legacy BIOS boot method. The Windows Support Software for installing Windows 10 on your model Mac can be found at: Boot Camp Support Software 4.0.4033.

Apple does not officially support Windows on your model Mac beyond version 7. The drivers for 64 bit Windows 7 are in the Boot Camp Support Software 4.0.4033 download. Fortunately, Windows 10 is designed to accept older version drivers, when current drivers are unavailable. Unfortunately, these drivers are designed for the legacy BIOS boot method.

Note: I am used the Boot Camp Support Software 4.0.4033 download to install 64 bit Windows 10 Pro on my 2007 iMac. Apple does not officially support any 64 bit versions of Windows on any 2007 Mac models. In spite of this, I am able to run 64 bit Windows 10 Pro on my 2007 iMac.