Solder the new speaker wires in the same position as the old one.
It is advisable to use a lead free solder
Use a small amount of solder to not mix up the connections and prevent short circuiting.
In case you use a large amount of solder, use a solder wick to absorb the excess solder.
You can find more information on "How To Solder" here:How To Solder and Desolder Connections
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