Of course this is etymythology: 'libra' is scale, 'liberare' is free

deliberation
late 14c., O.Fr. deliberation, from L. deliberationem (nom. deliberatio), from pp. stem of deliberare "weigh, consider well," from de- "entirely" (see de-) + -liberare, altered (perhaps by influence of liberare "liberate") from librare "to balance, weigh," from libra "scale."