1: \(\left(416-7654\right)-\left(-584+19-654\right)\)
\(=416-7654+584-19+654\)
\(=416+584-7654+654-19\)
=1000-7000-19
=-6019
2: \(\left(214-4864\right)-\left(-192+4214-865\right)\)
\(=214-4864+192-4214+865\)
\(=\left(214-4214\right)+\left(-4864+865\right)+192\)
\(=-4000-4864+864+1+192\)
\(=-4000-4000+193=-8193\)
3: \(\left(-324+1756\right)-\left(2023-4324+756\right)\)
\(=-324+1756-2023+4324-756\)
\(=\left(-324+4324\right)+\left(1756-756\right)-2023\)
\(=4000+1000-2023=5000-2023=2977\)
4: \(\left(-214-248\right)-\left(-695+486-1248\right)\)
\(=-214-248+695-486+1248\)
\(=\left(1248-248\right)+\left(-486-214\right)+695\)
\(=1000-700+695=300+695=965\)
5: \(\left(-46+2198\right)-\left(-2023-146+198\right)\)
\(=-46+2198+2023+146-198\)
\(=\left(-46+146\right)+\left(2198-198\right)+2023\)
\(=2000+100+2023=2100+2023=4123\)
6: \(\left(-416+25\right)-\left(-1416+17-475\right)\)
\(=-416+25+1416-17+475\)
\(=\left(1416-416\right)+\left(475+25\right)-17\)
\(=1000+500-17=1500-17=1483\)
7: \(\left(-253+1976-41\right)-\left(447+976-241\right)\)
\(=-253+1976-41-447-976+241\)
\(=\left(-253-447\right)+\left(1976-976\right)+\left(241-41\right)\)
\(=-700+1000+200=500\)
8: \(-\left(-195+24-687\right)+\left(424-6195\right)\)
\(=195-24+687+424-6195\)
\(=\left(195-6195\right)+\left(424-24\right)+687\)
\(=-6000+400+687=-6000+1087=-4913\)
9: \(-\left(-241+95-148\right)-\left(6241+305\right)\)
\(=241-95+148-6241-305\)
\(=\left(241-6241\right)+\left(-95-305\right)+148\)
=-6000-400+148
=-6400+148=-6252
