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Simplifying -3(8p + 3) + -2(3 + -17p) = 3(5 + 3p) Reorder the terms: -3(3 + 8p) + -2(3 + -17p) = 3(5 + 3p) (3 * -3 + 8p * -3) + -2(3 + -17p) = 3(5 + 3p) (-9 + -24p) + -2(3 + -17p) = 3(5 + 3p) -9 + -24p + (3 * -2 + -17p * -2) = 3(5 + 3p) -9 + -24p + (-6 + 34p) = 3(5 + 3p) Reorder the terms: -9 + -6 + -24p + 34p = 3(5 + 3p) Combine like terms: -9 + -6 = -15 -15 + -24p + 34p = 3(5 + 3p) Combine like terms: -24p + 34p = 10p -15 + 10p = 3(5 + 3p) -15 + 10p = (5 * 3 + 3p * 3) -15 + 10p = (15 + 9p) Solving -15 + 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. -15 + 10p + -9p = 15 + 9p + -9p Combine like terms: 10p + -9p = 1p -15 + 1p = 15 + 9p + -9p Combine like terms: 9p + -9p = 0 -15 + 1p = 15 + 0 -15 + 1p = 15 Add '15' to each side of the equation. -15 + 15 + 1p = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 1p = 15 + 15 1p = 15 + 15 Combine like terms: 15 + 15 = 30 1p = 30 Divide each side by '1'. p = 30 Simplifying p = 30
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