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Round 1			33.3%
Veronica Davidson	2,784.0	(38.9%)
Dayna Inkeles	1,978.0	(27.6%)
Jolene Gazmen	1,640.0	(22.9%)
Brian L. Doss	720.0	(10.1%)
Write-In	33.0	(0.5%)
Results			Redistributed Votes (to these colors)
Veronica Davidson	Elected

In the first round, the first choices on each ballot are tallied.
Veronica Davidson has enough votes to guarantee victory and is declared a winner. To ensure that everyone's vote counts equally, votes that exceed that threshold are counted toward their next highest ranking, if possible. This is actually done by counting a fraction of the ballots most recently counted for the winning candidate.

Next Round

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Round 2			33.3%
Veronica Davidson	2,385.0	(33.3%)
Dayna Inkeles	2,155.1	(30.1%)
Jolene Gazmen	1,775.6	(24.8%)
Brian L. Doss	805.3	(11.3%)
Write-In	34.0	(0.5%)
Results			Redistributed Votes (to these colors)
Write-In	Defeated

The last-place candidate (Write-In) is eliminated. Ballots for that candidate are counted toward their next highest ranking.

New colors:

None of these

Next Round

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Round 3			33.3%
Veronica Davidson	2,385.5	(33.4%)
Dayna Inkeles	2,159.4	(30.2%)
Jolene Gazmen	1,788.6	(25.0%)
Brian L. Doss	812.5	(11.4%)
None of these	9.0
Results			Redistributed Votes (to these colors)
Brian L. Doss	Defeated

The last-place candidate (Brian L. Doss) is eliminated. Ballots for that candidate are counted toward their next highest ranking.

Next Round

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Round 4			33.3%
Veronica Davidson	2,438.8	(34.6%)
Dayna Inkeles	2,596.1	(36.8%)
Jolene Gazmen	2,013.2	(28.6%)
None of these	107.0
Results			Redistributed Votes (to these colors)
Jolene Gazmen	Defeated

The last-place candidate (Jolene Gazmen) is eliminated. Ballots for that candidate are counted toward their next highest ranking.

Next Round

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Round 5			33.3%
Veronica Davidson	3,237.0	(47.7%)
Dayna Inkeles	3,553.1	(52.3%)
None of these	365.0
Results			Redistributed Votes (to these colors)
Dayna Inkeles	Elected

Dayna Inkeles has enough votes to guarantee victory and is declared a winner. To ensure that everyone's vote counts equally, votes that exceed that threshold are counted toward their next highest ranking, if possible. This is actually done by counting a fraction of the ballots most recently counted for the winning candidate.

Next Round

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Round 6			50%
Veronica Davidson	3,395.0	(50.0%)
Dayna Inkeles	3,395.0	(50.0%)
None of these	365.0
Results
Dayna Inkeles	Elected
Veronica Davidson	Elected

At this point, the number of remaining candidates equals the number of remaining seats, so the remaining candidates are declared elected.
In the end, 94.9% of all cast ballots counted toward a winner. This compares to 66.6% if only the first-round votes were used. You should be able to see that the winners have a more equal mandate in the final round than in the first round.

Note that even the "highest first-round votes" method is more democratic than most methods used in US public elections: the "vote for 2" method, which allows the largest block of voters to dominate, and the district method, where choices are restricted to the one or two viable candidates within geographical boundaries drawn by the politicians in office.

The Ballot Depth section shows how much lower rankings contributed to the tally.

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Rank	Fraction of votes for winners
1st	66.7%
2nd	23.8%
3rd	7.9%