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Simplifying -3(8p + 5) + -2(4 + -17p) = 3(4 + 3p) Reorder the terms: -3(5 + 8p) + -2(4 + -17p) = 3(4 + 3p) (5 * -3 + 8p * -3) + -2(4 + -17p) = 3(4 + 3p) (-15 + -24p) + -2(4 + -17p) = 3(4 + 3p) -15 + -24p + (4 * -2 + -17p * -2) = 3(4 + 3p) -15 + -24p + (-8 + 34p) = 3(4 + 3p) Reorder the terms: -15 + -8 + -24p + 34p = 3(4 + 3p) Combine like terms: -15 + -8 = -23 -23 + -24p + 34p = 3(4 + 3p) Combine like terms: -24p + 34p = 10p -23 + 10p = 3(4 + 3p) -23 + 10p = (4 * 3 + 3p * 3) -23 + 10p = (12 + 9p) Solving -23 + 10p = 12 + 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. -23 + 10p + -9p = 12 + 9p + -9p Combine like terms: 10p + -9p = 1p -23 + 1p = 12 + 9p + -9p Combine like terms: 9p + -9p = 0 -23 + 1p = 12 + 0 -23 + 1p = 12 Add '23' to each side of the equation. -23 + 23 + 1p = 12 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 12 + 23 1p = 12 + 23 Combine like terms: 12 + 23 = 35 1p = 35 Divide each side by '1'. p = 35 Simplifying p = 35
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