\(12-14-16+18-20-22+...+102-104-106\\ =\left(12-14-16\right)+\left(18-20-22\right)+...+\left(102-104-106\right)\\ =-18+\left(-24\right)+\left(-30\right)+...+\left(-108\right)\\ =16.\left[-18+\left(-108\right)\right]:2\\ =16.\left(-126\right):2\\ =-2016:2\\ =-1008\)