合う => do something together N3
~こと請け合い => I guarantee ... N1
Happens next
せいにする => Blame... N2
Cause, reason
~むきがある(~向きがある)     => There is a tendency N1
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
に...ができる => complete N4
Completed
できる => Can do something N5
ときているから/ときているので => because of ~ N1
[合「あ」]う => To do A together/mutually N4
Secondary Verb
させてくれる => Let me... N4
Allow