Welcome to the Official Redemption® Message Board!
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Captain Teemo to the rescue!
The most important thing to learn is that the game is not about kills. Farm minions at the start for gold and push a little bit if you can. Mid game is where the kills start coming. If you're the tank then assists are better than kills.
Or if you're Lee Sin the Blind Monk, you can just kill everyone whenever you want. Because you're Lee Sin the Blind Monk.