解:$(1)(-2ma²+3a-1)+[-4a²+(n-1)a-1]$
$=-2ma²+3a-1-4a²+(n-1)a-1$
$=(-2m-4)a²+(3+n-1)a-2$
由题意得:$-2m-4=0$且$3+n-1=0$
解得$m=-2$,$n=-2$
$(2)$原式$=4m²n-3mn²-2m²n-2mn²$
$=2m²n-5mn²$
把$m=-2$,$n=-2$代入:
原式$=2×(-2)²×(-2)-5×(-2)×(-2)²$
$=-16+40$
$=24$