Hey guys! After a lot of testing I have found the best way to farm Vanguard reputation. I'm sorry if you are one of those people who doesn't like videos, but it is so much easier to explain this method via video format. I hope you guys enjoy!
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I'll give you the simple version as to what I do. -go to tower pick up vanguard bounties. -do heroic strikes until you are half way done on vanguard, then go petrol cosmodrome until yo rank in vanguard. -now go tower, decrypt stuff, buy weapon parts until 10k, open vanguard package and finally finish off your chosen faction.