![\begin{gathered} \text{Given 8p+5=-6p+1} \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/nqgc1yj6ptb4yt6voa0kiq474etx5zppbb.png)
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;
![\begin{gathered} 8p+6p=1-5 \\ 14p=-4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/hp8m39cyq9lhdcawzlocgdt9ebm5t4bhkh.png)
We'll now divide both sides of the equation by 14, which will give us the below;
![\begin{gathered} (14p)/(14)=(-4)/(14) \\ \\ p=(-2)/(7) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/x1uxwpnkhyanakwlnx9udge4sd7nmr5hao.png)
Therefore, the correct answer is option G which is -2/7 as seen in our answer.