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Simplifying -5(2p + 3) + -27 = 3(3p + 5) Reorder the terms: -5(3 + 2p) + -27 = 3(3p + 5) (3 * -5 + 2p * -5) + -27 = 3(3p + 5) (-15 + -10p) + -27 = 3(3p + 5) Reorder the terms: -15 + -27 + -10p = 3(3p + 5) Combine like terms: -15 + -27 = -42 -42 + -10p = 3(3p + 5) Reorder the terms: -42 + -10p = 3(5 + 3p) -42 + -10p = (5 * 3 + 3p * 3) -42 + -10p = (15 + 9p) Solving -42 + -10p = 15 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -42 + -10p + -9p = 15 + 9p + -9p Combine like terms: -10p + -9p = -19p -42 + -19p = 15 + 9p + -9p Combine like terms: 9p + -9p = 0 -42 + -19p = 15 + 0 -42 + -19p = 15 Add '42' to each side of the equation. -42 + 42 + -19p = 15 + 42 Combine like terms: -42 + 42 = 0 0 + -19p = 15 + 42 -19p = 15 + 42 Combine like terms: 15 + 42 = 57 -19p = 57 Divide each side by '-19'. p = -3 Simplifying p = -3
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