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Simplifying -3(8p + 5) + -2(3 + -17p) = 3(8 + 3p) Reorder the terms: -3(5 + 8p) + -2(3 + -17p) = 3(8 + 3p) (5 * -3 + 8p * -3) + -2(3 + -17p) = 3(8 + 3p) (-15 + -24p) + -2(3 + -17p) = 3(8 + 3p) -15 + -24p + (3 * -2 + -17p * -2) = 3(8 + 3p) -15 + -24p + (-6 + 34p) = 3(8 + 3p) Reorder the terms: -15 + -6 + -24p + 34p = 3(8 + 3p) Combine like terms: -15 + -6 = -21 -21 + -24p + 34p = 3(8 + 3p) Combine like terms: -24p + 34p = 10p -21 + 10p = 3(8 + 3p) -21 + 10p = (8 * 3 + 3p * 3) -21 + 10p = (24 + 9p) Solving -21 + 10p = 24 + 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. -21 + 10p + -9p = 24 + 9p + -9p Combine like terms: 10p + -9p = 1p -21 + 1p = 24 + 9p + -9p Combine like terms: 9p + -9p = 0 -21 + 1p = 24 + 0 -21 + 1p = 24 Add '21' to each side of the equation. -21 + 21 + 1p = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 24 + 21 1p = 24 + 21 Combine like terms: 24 + 21 = 45 1p = 45 Divide each side by '1'. p = 45 Simplifying p = 45
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