Hey there! If you are considering a 6000 watt solar system. It's important to figure out how much energy you need and what your setup requires before choosing the right batteries. You'll want to think about your daily energy consumption, how long you want backup power for, and where you live. To figure out how much battery capacity you need, you can calculate it in amp-hours or kilowatt-hours based on your energy needs.
When it comes to fuse size, it's best to check the specifications and guidelines provided by the inverter manufacturer to make sure you're using the right one for your setup. Since your inverter has an 80 amp draw, it might be a good idea to use a fuse rated higher than that to handle startup surges and extra load.
For the safest and most efficient solar system, it's always a good idea to consult with a professional or an expert in the field. They can give you personalized advice based on your specific needs and equipment.