As given by the question
There are given that the expression:
[tex](-m^2+6)+(-4m^2+7m+2)[/tex]Now,
Simplify the given expression:
[tex](-m^2+6)+(-4m^2+7m+2)=-m^2+6-4m^2+7m+2[/tex]Then,
[tex]\begin{gathered} -m^2+6-4m^2+7m+2=-m^2-4m^2+7m+8 \\ =-5m^2+7m+8 \end{gathered}[/tex]Hence, the value of the expression is shown below:
[tex]-5m^2+7m+8[/tex]