[tex] \frac{2}{3} p -2 \frac{1}{2} = 3\frac{1}{2} \\ \\ find \: the \: value \: of \: p \: [/tex]

[tex] \frac{2}{3} p -2 \frac{1}{2} = 3\frac{1}{2} \\ \\ \frac{2}{3} p = \frac{7}{2} + \frac{5}{2} \\ \frac{2}{3} p = \frac{12}{2} \\ \frac{2}{3} p = 6 \\ p = \frac{6}{ \frac{2}{3} } \\ p = 6 \times \frac{3}{2} \\ p = \frac{18}{2} \\ p = 9[/tex]