Is there any difference in meaning or usage between "negar" and "denegar" when they mean "to deny something which was requested" ? Both meanings in DLE seem identical to me.
negar
- tr. Decir que no a lo que se pretende o se pide, o no concederlo.
denegar
- tr. No conceder lo que se pide o solicita.
Example:
Me negaron/denegaron la entrada a la suite presidencial porque les parecí sospechoso.