Calculate: (2m^2-9m+9)-(-2m^2-7m-9)

Expression: $(2m^{2}-9m+9)-(-2m^{2}-7m-9)$

Apply rule $(a)=a$

$=2m^{2}-9m+9-(-2m^{2}-7m-9)$

Apply the distributive law $-\left(-a-b\right)=a+b$

$=2m^{2}-9m+9+2m^{2}+7m+9$

Group like terms

$=2m^{2}+2m^{2}-9m+7m+9+9$

Add similar elements: $ 2m^{2}+2m^{2}=4m^{2}$

$=4m^{2}-9m+7m+9+9$

Add similar elements: $ -9m+7m=-2m$

$=4m^{2}-2m+9+9$

Add the numbers: $ 9+9=18$

$=4m^{2}-2m+18$