I'm not sure left vs right is that useful a distinction. Both the Soviet Union and Nazi Germany called themselves socialist, and both claimed to be doing what was best for their people.

The addition of "socialist" to the Nazi party's name was done in the early 1920s to appeal to socialist-leaning people. Hitler was against the change but was overruled by the rest of the party's leadership.

>Both the Soviet Union and Nazi Germany called themselves socialist, and both claimed to be doing what was best for their people.

The Nazis weren't socialist. They appropriated the term as a propaganda tactic, a means of appealing to the masses. North Korea calls itself a democratic republic, but is obviously neither. One can't simply assume political labels to be correct. In terms of their actual policies and beliefs, the Nazis were vehemently anti-socialist.

https://www.britannica.com/story/were-the-nazis-socialists