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Uhm, sorry to say it guys, but you are all looking at it at the wrong angle...
Sound absorption is not the same as sound insulation.
Putting up those egg cartons or spike foams or similar things will improve sound inside the room (the will absorb or scatter certain frequencies, to solve standing waves), but they won't reduce the "spill" of sound coming out from the room, ie insulation. Don't think those foam panels will keep the heavy bass from sounding out the room. It will reduce high frequency spill a little bit, but nothing to be amazed of frankly.
The only real thing that works to solve low frequency spill, is mass. The higher the mass, the better the insulation. So, I'm sad to say, the best way to get rid of it is putting up high mass walls (a second brick wall, or even better two walls with lead in the middle).
There is no cheap option of keeping the bass inside a room (or outside).
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