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