PT46.S2.Q23 - whoever is kind is loved by somebody

kwoods15

I diagrammed it and got K-->LS,O----> H Then for conclusion K--->H when doing all this how do I get to D? I ended up picking E because I knew it couldnt be D (terrible logic i know)
http://7sage.com/lsat_explanations/lsat-46-section-2-question-23/

Sung Che Jo

This is how I diagrammed it:
whoever is kind is loved by somebody or other (K->loveD)
whoever loves anyone is happy (loveS->H)
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it follows that whoever is kind is happy (K->H)

so to arrive at the conclusion we would need to connect loveD->loveS.
answer choice D is /loveS->/loveD
the contrapositive of this would become loveD->loveS, exactly what we need!
as for answer choice E, it would be loveS->K, but we would need K->loveS in order for this to be relevant.