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To simplify the expression -5p³(4p² + 3p¹), distribute -5p³ to both terms inside the parentheses. This results in -5p³ * 4p² = -20p^(3+2) = -20p⁵ and -5p³ * 3p¹ = -15p^(3+1) = -15p⁴. Therefore, the final expression is -20p⁵ - 15p⁴.

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