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Where to connect that black loudspeaker wire
One wrong way is to connect it to the midpoint of the capacitor bank in your power supply.
Wiring an audio power amplifier
Use a balanced connection into a differential input were possible. Wire any signal and its reference together at all times. Disregard grounding gurus.
The measurements of an ideal audio amplifier for correct sound reproduction

How much power is enough for an audio amplifier?
To play Sultans of Swing at the normal listening level requires an amp rated at 25W.
Differential configuration for LM3886

Not only does differential configuration do away with ground loop problems, it also eliminates a significant source of distortion.