And the machines make trust and verification harder, not easier.
To put it bluntly, I simply do not believe that it is possible to produce a machine where I can visibly see that the vote I think I've cast (and have received a receipt of some kind for) has voted the way I intend.
I have no way of knowing that, even before the ballot box, my vote hasn't been tampered with.
People and paper have their flaws, but this very fundamental one isn't it.