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Depends on how precious you are about the car. Normal longstay is park yourself and get a bus in. Isn't extortionate. Never had a problem.
'Summer Special' parking section, they park for you. Used it twice but always paranoid after @Dammit Porsche escapade (though that was at Heathrow)
There are a few non official parking places near by that are a lot cheaper but expect a 30 minute transfer to / from the terminal.
Get the train?
parking at gatwick for 5 days. any pro tips?