If you approach the problem professionally, then first of all you need to determine what is the source of the noise and what kind of noise it is.
Noise can be transmitted not only along the wall adjacent to the neighboring apartment, but also along the enclosing structures. Panel houses are most susceptible to this phenomenon. Therefore, at this stage we define these walls and structures.
Also, panel houses are characterized by the presence of cracks in the inter-panel joints, not carefully sealed during repairs.
Very important check all the installation locations of the wall boxes on the adjacent walls. The installation locations for you and your neighbor may not only coincide, but also be located in a through hole.
The walls of apartments with brick partitions, tongue-and-groove slabs, etc. should also be carefully examined for cracks. Cracks are sealed. For very thin ones, use acrylic sealant.
We mark the noisiest walls of the place, you can draw a plan and mark it on it, indicating the degree of noise.
Structural noise is the hardest to combat, as wall insulation does not always help to overcome it. Other walls, the floor and the ceiling begin to make noise.
If you are bothered by airborne noise (conversations, TV), then soundproofing the adjacent wall will solve this problem. If you have determined that airborne noise is heard through other walls, then you will most likely have to insulate them too.
Sometimes a neighbor has not just a TV, but a home theater. The noise accordingly also includes low frequencies. This is a rather complicated option, since for soundproofing the room it is necessary:
I will immediately note that for soundproofing low-frequency noise, a frame version of the cladding is necessary and the further the distance from the wall to the cladding layer, the better. But the area (volume) of the room decreases, take this into account.