The devices and methods described herein may be used to restore left ventricular function to address mitral valve regurgitation. One variation of an implant comprises a plurality of tethered anchors and a plurality of force-distribution members slidably disposed on the tether between the anchors. One or more of the force-distribution members can comprise a bioabsorbable material. Methods comprise deploying the implant to cardiac tissue, cinching the implant to its hard stop (e.g., where further cinching does not cause further tissue tightening), providing a pre-selected amount of slack to the implant after it has been cinched to its hard stop configuration, and securing a lock member on the tether. Also disclosed herein are lock member deployment catheters that provide a pre-selected amount of tether slack as it secures a lock member on the tether.