You see your choices in paper.
You place the paper in a ballot box.
The ballot box is watched by people on both sides.
The ballot box is sealed and transparently transported to a counting facility.
The ballot counting is observed by people on both sides.
The counting facility counts the ballots twice, with both counts having to agree. The counts are communicated to a central tallying location.
The counts for each counting facility and the total are publicly communicated.