Calculate: (d+9)-(6d-2)

Expression: $(d+9)-(6d-2)$

Apply rule $(a)=a$

$=d+9-(6d-2)$

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

$=d+9-6d+2$

Group like terms

$=d-6d+9+2$

Add similar elements: $ d-6d=-5d$

$=-5d+9+2$

Add the numbers: $ 9+2=11$

$=-5d+11$