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To simplify the expression 5-7(3 + p), we first distribute the -7 to both terms inside the parentheses:
5 - 7(3 + p) = 5 - 21 - 7p
Then, combine the like terms:
= -16 - 7p
So, the equivalent expression is -16 - 7p.
Therefore, the correct answer is option D. -7p - 16.