Roll in the open, fuck narrative first gameplay, it’s a game.
To newer DMs: Never admit to your players whether or not you fudge rolls. As the DM, The only thing you need to do to maintain the integrity of your game is to shut your damn mouth when you bend the rules. The players just need the illusion maintained.
So that my players see me roll the dice. As long as they believe the illusion, the roll is real to them, and so their experience is meaningful and memorable; at the end of the day, that’s what matters most to me as a DM.
I have just the die for such an occasion…
Play a system that accounts for this.
Fate gives you fate points to spend when you do t like a roll. It also gives you “succeed at a cost” if your fate points are exhausted or not enough.
You can still just roll with it (pun intended) and die to a random goblin if that’s fun. But you also have agreed upon procedure for not doing that. “It looks like the goblin is going to gut me, but (slides fate point across the table) as it says on my sheet I’m a Battle Tested Bodyguard, so I twist at the last second and he misses (because the fate point bumps my defense roll high enough)”
This is pretty easy to import into DND, too, if you like the other parts of it
