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Simplifying -4(2p + 4) + -36 = 5(3p + 8) Reorder the terms: -4(4 + 2p) + -36 = 5(3p + 8) (4 * -4 + 2p * -4) + -36 = 5(3p + 8) (-16 + -8p) + -36 = 5(3p + 8) Reorder the terms: -16 + -36 + -8p = 5(3p + 8) Combine like terms: -16 + -36 = -52 -52 + -8p = 5(3p + 8) Reorder the terms: -52 + -8p = 5(8 + 3p) -52 + -8p = (8 * 5 + 3p * 5) -52 + -8p = (40 + 15p) Solving -52 + -8p = 40 + 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. -52 + -8p + -15p = 40 + 15p + -15p Combine like terms: -8p + -15p = -23p -52 + -23p = 40 + 15p + -15p Combine like terms: 15p + -15p = 0 -52 + -23p = 40 + 0 -52 + -23p = 40 Add '52' to each side of the equation. -52 + 52 + -23p = 40 + 52 Combine like terms: -52 + 52 = 0 0 + -23p = 40 + 52 -23p = 40 + 52 Combine like terms: 40 + 52 = 92 -23p = 92 Divide each side by '-23'. p = -4 Simplifying p = -4
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