It made me think of a scripture in D&C (thanks, D&C class, love it)108:7-8, "Therefore, strengthen your brethren in all your conversation, in all your prayers, in all your exhortations, and in all your doings. And behold, and lo, I am with you to bless you and deliver you forever. Amen."
And then after I got home, I was reading a talk by President Hinckley, and this paragraph just stuck out to me as applying perfectly to this also:
"Brothers and sisters, look above your trials. Try to forget your own pain as you work to alleviate the pain of others. Mingle together as opportunity affords. It is important that we do so. We need others to talk with and to share our feelings and faith with. Cultivate friends. Begin by being a good friend to others."--President Hinckley, Ensign, March 1997And one more..."No matter what circumstances you sisters experience, your influence can be marvelously far-reaching. I believe some of you have a tendency to underestimate your profound capacity for blessing the lives of others. More often than not, it is not on the stage with some public pronouncement but in your example of righteousness and the countless gentle acts of love and kindness done so willingly, so often on a one-to-one basis." --James E. Faust, "You Are All Heaven Sent," Ensign, Nov. 2002, 110
So, the moral of the story is: do your visiting and home teaching. You won't just be helping them.