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Hello, My name is ***** ***** I would love to help you with your battery selection.
you are going to want a 130 amp hour deep cycle battery and at least 750 watt inverter if the equipment operates at 120v
This would be to maximize battery life and performance. You can cut those numbers down but you shorten the life of the battery and have a higher risk of burning up your rig.
a 200 watt 12 volt solar array with controller should charge the battery given you have good sun where you are.
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