Maintaining good social relationship with the families in your vicinity ensures a better social life. But, that does not mean that you will tolerate anything to maintain good relations. Many folks love to watch television at high volume, which causes the people around a huge trouble. Different people read a given situation in very different manner. While you may simply get frustrated sitting at your home, over this trivial matter (which your thoughts have made a big mountain), your neighbor may still enjoy the life.
The easiest and most effective way to handle the situation is by communicating your problem to the neighbor next door. You may make a mountain of a mole which can prove to be fatal for your relationship. Instead, you can simply ask them to curtail either the volume or the timings of the television.
Although you have politely spoken to the neighbor about your problem, but if they still do not understand, then close your eyes and know and understand what's happening. Overthinking sucks a lot of energy. So, before mental torture even begins, fix yourself because in the end what matters is how you think and what you think becomes reality.
Save your mind and that is what is most important, later comes the relations. Sometimes, you have to cooperate and sometimes others adjust and that is how we proceed on our journey of lives.