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>Nunn vs Georgia (1846) [...]

An in Alabama State vs Reid (1840) the 'court held that the law “to suppress the evil practice of carrying weapons secretly,” did not violate the Alabama constitution. While the legislature could not prevent the carrying of arms, it did retain the right “to enact laws in regard to the manner in which arms shall be borne.” Because the restriction on concealed carry was not a prohibition on the right, it was within the ambit of the legislature to restrict concealed carry.[10]'

* https://en.wikipedia.org/wiki/Nunn_v._Georgia

So open carry if fine (?), but concealed can be regulated.

Canada also comes with common law going back to England, and the Supreme Court there ruled that while the right to self-defence exists, the right to arms does not.