Given the equation:
[tex]7p+9=15+6p[/tex]to solve for p, we have to move the terms with the variable p to one side, and the constants to the opposite side. When we do this, we are going to change the sign of the terms that we move:
[tex]\begin{gathered} 7p+9=15+6p \\ \Rightarrow7p-6p=15-9=6 \\ \Rightarrow p=6 \end{gathered}[/tex]therefore, p=6