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Answer:
[tex]8p + 5c = p \\ 5c = p - 8p \\ 5c = - 7p \\ \frac{5c}{5} = \frac{ - 7p}{5} \\ \\ c = - \frac{7}{5} p[/tex]
therefore:
[tex]{ \boxed{ \boxed{c = - 1 \frac{2}{5} \: p}}}[/tex]