Hey there! Firstly, you have to [tex]\bold{simplify}[/tex] each of the sides of your equation[tex]\bold{6-2p-p+9\downarrow}[/tex][tex]\bold{6+(-2p)=p+9\downarrow}[/tex][tex]\rightarrow\bold{-2p+6=p+9}[/tex]Now that you have that portion out of the way, we could move on to our second step... which is to [tex]\bold{subtract}[/tex] by the value of [tex]\bold{p}[/tex] on each of your sides [tex]\bold{-2p+6-p-p+9-p\downarrow}[/tex][tex]\rightarrow\bold{-3p+6-9}[/tex] (you get this because we solve the particular equation we added above)Thirdly, you have to [tex]\bold{subtract}[/tex] by the number [tex]\bold{6}[/tex] on each of your sides [tex]\bold{-3p+6-6=9-6\downarrow}[/tex][tex]\bold{Cancel:6-6}[/tex] because it equals to [tex]\bold{0}[/tex][tex]\bold{Keep:9-6}[/tex] because it brings us closer and closer to the answer of [tex]\bold{p}[/tex]Fourthly, we have to [tex]\bold{divide}[/tex] by the number [tex]\bold{-3}[/tex] on each of your sides [tex]\bold{\frac{-3p}{-3}=\frac{3}{-3}}[/tex][tex]\boxed{\boxed{\bold{Answer:p=-1}}}[/tex] [tex]\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]