Balak brings Bilaam out to curse the Jews. When it does not pan out and Bilaam ends up blessing the Jews, Balak gets upset and finds a new location from which Bilaam could attempt to curse them. This happens a few times.
Why go to a different mountaintop to curse them?
Balak was trying to give Bilaam a different perspective each time.
If one time he looks at the Jews and can't curse them, maybe he needs to look at them from a "different angle". Maybe he needs some new perspective on the Jews, and that would arouse the ability to curse them.
We, too, have to be open to looking at things from a different perspective. If we are not successful at something, sometimes we just need to look at the problem from a different angle. Get a different perspective tto possibly understand better the issues.