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Simplifying -3(8p + 6) + -2(4 + -17p) = 3(5 + 3p) Reorder the terms: -3(6 + 8p) + -2(4 + -17p) = 3(5 + 3p) (6 * -3 + 8p * -3) + -2(4 + -17p) = 3(5 + 3p) (-18 + -24p) + -2(4 + -17p) = 3(5 + 3p) -18 + -24p + (4 * -2 + -17p * -2) = 3(5 + 3p) -18 + -24p + (-8 + 34p) = 3(5 + 3p) Reorder the terms: -18 + -8 + -24p + 34p = 3(5 + 3p) Combine like terms: -18 + -8 = -26 -26 + -24p + 34p = 3(5 + 3p) Combine like terms: -24p + 34p = 10p -26 + 10p = 3(5 + 3p) -26 + 10p = (5 * 3 + 3p * 3) -26 + 10p = (15 + 9p) Solving -26 + 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. -26 + 10p + -9p = 15 + 9p + -9p Combine like terms: 10p + -9p = 1p -26 + 1p = 15 + 9p + -9p Combine like terms: 9p + -9p = 0 -26 + 1p = 15 + 0 -26 + 1p = 15 Add '26' to each side of the equation. -26 + 26 + 1p = 15 + 26 Combine like terms: -26 + 26 = 0 0 + 1p = 15 + 26 1p = 15 + 26 Combine like terms: 15 + 26 = 41 1p = 41 Divide each side by '1'. p = 41 Simplifying p = 41
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