Pretty sure the constitution says every man has the right to bear arms, not guns specifically.
Ban guns and carry round swords instead.
If a bloke goes psycho with a sword he's far more easily disarmed than a bloke with an assault rifle.
So no more mass shootings and everyone gets to keep their right to bear arms.
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To quote my Chemistry class: "We should replace all guns with Ether. It wouldn't be as dangerous."