The first thing we need to do is collect like terms; move all the terms in p to one side of the equation and move the rest to the other side of the equation;
[tex]\begin{gathered} 8p+6p=1-5 \\ 14p=-4 \end{gathered}[/tex]We'll now divide both sides of the equation by 14, which will give us the below;
[tex]\begin{gathered} \frac{14p}{14}=\frac{-4}{14} \\ \\ p=\frac{-2}{7} \end{gathered}[/tex]Therefore, the correct answer is option G which is -2/7 as seen in our answer.