せいにする => Blame... N2
Cause, reason
させてあげる => (Allow) N4
Allow
てみせる => I'll show you ~ N4
Purpose, target
姿を見せる => figure; appearance N3
Ability
させてください/させてもらえますか/させてもらえませんか => please let me do N3
させてくれる => Let me... N4
Allow
せられたい => Please..., Let me... N3
Order
...が...を...みせる => make it look like... N4
Base, base
…からか/…せいか/…のか => perhaps because ~. N3
Cause, reason
させてもらう => Allow me to do (favor) N4
Allow
てみせる => To show (the action) A N1
Will, Decision, Doing
ようにみせる => to look; to seem; to appear ~ N4
Consider it