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Simplifying -4(2p + 4) + -24 = 3(5p + 2) Reorder the terms: -4(4 + 2p) + -24 = 3(5p + 2) (4 * -4 + 2p * -4) + -24 = 3(5p + 2) (-16 + -8p) + -24 = 3(5p + 2) Reorder the terms: -16 + -24 + -8p = 3(5p + 2) Combine like terms: -16 + -24 = -40 -40 + -8p = 3(5p + 2) Reorder the terms: -40 + -8p = 3(2 + 5p) -40 + -8p = (2 * 3 + 5p * 3) -40 + -8p = (6 + 15p) Solving -40 + -8p = 6 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -40 + -8p + -15p = 6 + 15p + -15p Combine like terms: -8p + -15p = -23p -40 + -23p = 6 + 15p + -15p Combine like terms: 15p + -15p = 0 -40 + -23p = 6 + 0 -40 + -23p = 6 Add '40' to each side of the equation. -40 + 40 + -23p = 6 + 40 Combine like terms: -40 + 40 = 0 0 + -23p = 6 + 40 -23p = 6 + 40 Combine like terms: 6 + 40 = 46 -23p = 46 Divide each side by '-23'. p = -2 Simplifying p = -2
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