2018Final results
2018 election for New Mexico House District 31
New Mexico House of Representatives · New Mexico
William R. Rehm (R) won with 64.3% of the vote, defeating William Arnoldwiley Jr. (Lib) by 28.6 points.
William R. RehmRepublican · winner · incumbent
64.3%9,675
William Arnoldwiley Jr.Libertarian
35.7%5,377
15,052 votes
Source: Harvard Dataverse / Carl KlarnerUpdated Sep 30, 2026, 7:29 AM ET
The seat over time
D − R margin in this seat's races around 2018
Races before and after
Source: Harvard Dataverse / Carl KlarnerUpdated Sep 30, 2026, 7:29 AM ET