There is nothing arcane or dangerous about it. Macs with the rear I/O door have logic boards that slide out for service. There may be both screws and plastic clips holding the I/O door. The key to safe working is to keep an effective groundpath from the Mac, and to ground yourself frequently.
Make sure that the Mac is switched off at the mains wall socket or power board, but leave the power cable attached at both ends, so as to provide that ground path for static electricity. When you have the door off, touch any exposed metal (eg, socket shrouds, chassis) to discharge yourself.
Withdraw the LB, and put it on a nonconducting surface, eg a piece of bubblewrap that you placed while you were grounding yourself with the other hand. The LC PDS slot for the NIC will be parallel to the right side of the LB and at the rear of the board. Ground yourself, and align the connector of the NIC with the PDS slot. Make sure of the alignment before you press the connectors firmly together. Ground yourself. Put the LB back, taking care not to dislodge any grounding clips on its underside. Press it firmly into its edge connector at the front.
Take the blanking plate off the I/O cover (or the face-plate at the back of the LB, if there is one). Put the I/O cover on, with its screws, if you have them. Attach the ethernet cable at both ends before starting up the Mac, to ensure that the card is recognized by the Mac.
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