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Simplifying -3(8p + 3) + -2(5 + -17p) = 3(3 + 3p) Reorder the terms: -3(3 + 8p) + -2(5 + -17p) = 3(3 + 3p) (3 * -3 + 8p * -3) + -2(5 + -17p) = 3(3 + 3p) (-9 + -24p) + -2(5 + -17p) = 3(3 + 3p) -9 + -24p + (5 * -2 + -17p * -2) = 3(3 + 3p) -9 + -24p + (-10 + 34p) = 3(3 + 3p) Reorder the terms: -9 + -10 + -24p + 34p = 3(3 + 3p) Combine like terms: -9 + -10 = -19 -19 + -24p + 34p = 3(3 + 3p) Combine like terms: -24p + 34p = 10p -19 + 10p = 3(3 + 3p) -19 + 10p = (3 * 3 + 3p * 3) -19 + 10p = (9 + 9p) Solving -19 + 10p = 9 + 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. -19 + 10p + -9p = 9 + 9p + -9p Combine like terms: 10p + -9p = 1p -19 + 1p = 9 + 9p + -9p Combine like terms: 9p + -9p = 0 -19 + 1p = 9 + 0 -19 + 1p = 9 Add '19' to each side of the equation. -19 + 19 + 1p = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 9 + 19 1p = 9 + 19 Combine like terms: 9 + 19 = 28 1p = 28 Divide each side by '1'. p = 28 Simplifying p = 28
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