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Sorry to hear about the broken strings. I want to verify that when you tune to D you are tuning your E strings to a tone lower in pitch not higher. Depending on your tuner gear ratios it is about one full turn Lower in Pitch. The E string will go higher to about G, that is three half steps before it breaks. I bend there but briefly and not without sometimes breaking a string but it is usually either a new string or an very old string. If you know you are tuning to the lower pitch and the string is still breaking we can have a different conversation on how to put your string on the tuning peg without fatiguing the string where it contacts the sharp side of the post hole if that is where it is breaking.