a) \(\left(-23\right)+13\left(-17\right)+57\)
\(=\left(-23\right)+\left(-221\right)+57\)
\(=-23-221+57\)
\(=-\left(23+221\right)+57\)
\(=-244+57\)
\(=-\left(244-57\right)\)
\(=-187\)
b) \(\left(-26\right)+\left(-6\right)+\left(-75\right)+\left(-50\right)\)
\(=-26-6-75-50\)
\(=-\left(26+6\right)-75-50\)
\(=-32-75-50\)
\(=-\left(32+75\right)-50\)
\(=-107-50\)
\(=-\left(107+50\right)\)
\(=-157\)
c) \(14+6+\left(-9\right)+\left(-14\right)\)
\(=14+6-9-14\)
\(=20-9-14\)
\(=11-14\)
\(=-3\)
d) \(\left(-123\right)+\left|13\right|+\left(-7\right)\)
\(=-123+13-7\)
\(=-\left(123-13\right)-7\)
\(=-110-7\)
\(=-\left(110+7\right)\)
\(=-117\)
e) \(\left|0\right|+\left|45\right|+\left(-\left|-455\right|\right)+\left|-796\right|\)
\(=0+45+\left(-455\right)-796\)
\(=45-455-796\)
\(=-410-796\)
\(=-\left(410+796\right)\)
\(=-1206\)
f) \(-\left|-33\right|+\left(-12\right)+18+\left|45-40\right|-57\)
\(=-33-12+18+\left|5\right|-57\)
\(=-\left(33+12\right)+18+5-57\)
\(=-45+18+5-57\)
\(=-\left(45-18\right)+5-57\)
\(=-27+5-57\)
\(=-\left(27-5\right)-57\)
\(=-22-57\)
\(=-\left(22+57\right)\)
\(=-79\)
