I knocked mine out using the devil's run exotic sidearm fusion beam. Was pretty painless but that thing eats ammo. Few times I was slaying out without dying i ran out of primary and special... Was literally running around IB with my fists - trying to emote and agro redberries into hard scoped lanes!
Anyway when you eventually die you respawn with ammo and can go back to racking up sidearm kills.
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on my way to finish it now, my problem wasnt getting kills it was the quest not registering after loggin in again today it is finally working, thanks for the suggestion on weapon tho!