Simplify 5+4m^2+7m-m^2+3m-13

$5 + 4 m^{2} + 7 m - m^{2} + 3 m - 13$

Subtract $13$ from $5$ .

$4 m^{2} + 7 m - m^{2} + 3 m - 8$

Subtract $m^{2}$ from $4 m^{2}$ .

$3 m^{2} + 7 m + 3 m - 8$

Add $7 m$ and $3 m$ .

$3 m^{2} + 10 m - 8$