Verified Answer :

5(3p+2) - 2(5p-3)     Distribute the 5 and the 2
(53p) + (510) + (-25p) + (-2-3)
15p + 50 - 10p + 6      Combine like terms
5p + 56

\(5(3p+2) -2(5p-3) \\ \\ 15p + 10 - 10p + 6 \\ \\ (15p - 10p) + 10 + 6 \\ \\ 5p + 10 + 6 \\ \\ 5p + 16 \\ \\ Answer: \fbox {5p + 16}\)