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Simplifying -5(3p + 4) + -8 = 2(2p + 5) Reorder the terms: -5(4 + 3p) + -8 = 2(2p + 5) (4 * -5 + 3p * -5) + -8 = 2(2p + 5) (-20 + -15p) + -8 = 2(2p + 5) Reorder the terms: -20 + -8 + -15p = 2(2p + 5) Combine like terms: -20 + -8 = -28 -28 + -15p = 2(2p + 5) Reorder the terms: -28 + -15p = 2(5 + 2p) -28 + -15p = (5 * 2 + 2p * 2) -28 + -15p = (10 + 4p) Solving -28 + -15p = 10 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -28 + -15p + -4p = 10 + 4p + -4p Combine like terms: -15p + -4p = -19p -28 + -19p = 10 + 4p + -4p Combine like terms: 4p + -4p = 0 -28 + -19p = 10 + 0 -28 + -19p = 10 Add '28' to each side of the equation. -28 + 28 + -19p = 10 + 28 Combine like terms: -28 + 28 = 0 0 + -19p = 10 + 28 -19p = 10 + 28 Combine like terms: 10 + 28 = 38 -19p = 38 Divide each side by '-19'. p = -2 Simplifying p = -2
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