In Matthew 20:27, Christ teaches that "whosoever will be chief among you, let him be your servant." That seemed like a good place to start. I like the contrast Christ gives before this verse between His mission of love and service without earthly reward and the rulers of the Gentiles, who lived in luxury and power, ordering their servants around. This scripture seems like a pretty good definition of "seeketh not her own."
When we are striving to serve others, our hearts become "knit together in unity and love" (Mosiah 18:21). We care more about each other, and are cared for in return. Moreover, we become "the body of Christ," as Paul explains in 1 Corinthians 12:27. In the spirit of true unity, we suffer together and rejoice together (v. 26; see also 1 Peter 3:8), everyone caring more for the united whole than for themselves as individuals. Selfishness, pride, and envy cease, and, just like the human body, if one member suffers, the others give some of their sustenance and support to help heal the hurting member.
Christ gave His life as an example of this kind of love. He suffered with us literally in the Garden of Gethsemane and on the cross at Golgotha. He "took upon him ...pains... sicknesses... death... infirmities... [and] sins" (Alma 7:11-13), and "hath borne our griefs, and carried our sorrows" (Isaiah 53:4).
In light of these scriptures, my goal this week will be to seek the well-being of others instead of worrying about myself. Specifically, I will look for at least one opportunity to help someone in need every day and try to suffer and rejoice with the people close to me. In this way, I can be a little more like Christ.