\(\left(-7+\left|13\right|\right)-\left(13-\left|-7\right|-25\right)-\left(25+\left|10\right|-9\right)\\ =\left(-7+13\right)-\left(13-7-25\right)-\left(25+10-9\right)\\ =\left(-7\right)+13-13+7+25-25-10+9\\ =\left[\left(-7\right)+7\right]+\left(13-13\right)+\left(25-25\right)+\left(7+9-10\right)\\ =0+0+0+\left(16-10\right)\\ =0+6\\ =6\)