I would suggest the action locations to be consistent and at the same position as any other form in your application.
Look at it this way,
Users get accustom to the application's primary and secondary(if any) actions. Having them based on a specific form would bring in some extra effort from the user's side. This is not advised.
Now addressing whether they should be on the right or left(as a group), this decision could be better made by looking at the form design pattern.
If in case of a single column form, having the actions grouped to the right would provide better isolation. This way the user will immediately distinguish the area between the actions and the actual form.
On the other hand, why not on the left?
This could get mixed in with the form. A Form when design needs to be properly grouped. Even with the actions available.
Divide the whole form in two sections. One displaying the form and the other will be it's actions. This way, proper focus points can be introduced which will allow the user to navigate through the form easily. This could be one perspective to it.
Also, following an order for the buttons is a good way to make web forms even cleaner.
For ex, "send" then "delete" .
Meaning, positive first and then the negative actions which in this case is "delete"
Few links that could help you:
http://www.getelastic.com/form-design-11-patterns-for-accepting-user-input/
https://www.smashingmagazine.com/2011/11/extensive-guide-web-form-usability/
https://www.nngroup.com/articles/form-design-white-space/
I hope, if not the solution, I could provide the perspective to it.