In order to solve this equation for p, first we need to use the distributive property of multiplication in the product with brackets on the left side of the equation:
[tex]\begin{gathered} a(b+c)=ab+ac \\ 2(8p-2)=2\cdot8p-2\cdot2=16p-4 \end{gathered}[/tex]Then, we can do the following steps:
[tex]\begin{gathered} 16p-4=5p-15 \\ \to\text{put the like terms on the same side of the equation:} \\ 16p-5p=-15+4 \\ \to\text{add the like terms:} \\ 11p=-11 \\ \to\text{divide both sides by the coefficient of p:} \\ \frac{11p}{11}=\frac{-11}{11} \\ p=-1 \end{gathered}[/tex]Therefore the solution is p = -1.
