Look at this as an opportunity. Encourage her to write - I mean actually correspond - and share with her friend. Is the new community close enough for your daughter to travel to? Would you be willing to allow her to do so alone? Many forms of travel have ways in place for unaccompanied minors to do so. What I am getting at is that giving your child something to look forward to might be what she needs to pull her out of the rut - even more so if they bear some of the responsibility for getting there. Start a work jar whereby she can earn through deeds and tasks the fare to do so.

Now, as for the moping about playing the computer. One, what are her responsibilities for such things? Again, I think earning time to do so is a worthwhile responsibility. Two, what extracurricular activities is she participating in? These are really important at her age. They give her something to burn off some energy. Hopefully she will develop interests beyond this friend. Art? Theatre? Music? Sports? Clubs? While yes these can require an expense there do in fact exist such things with little, no, or subsidized cost. In my case my son had a competitive talent for soccer which I simply couldn't afford. He was able to play on scholarship with a private club. Today that boy earns his living as a technical director for another club. Had I not done anything he would have sat around all day playing video games. Just pointing out the value of finding something to devote time and energy to.