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Simplifying -3(8p + 5) + -2(1 + -20p) = 3(6 + 5p) Reorder the terms: -3(5 + 8p) + -2(1 + -20p) = 3(6 + 5p) (5 * -3 + 8p * -3) + -2(1 + -20p) = 3(6 + 5p) (-15 + -24p) + -2(1 + -20p) = 3(6 + 5p) -15 + -24p + (1 * -2 + -20p * -2) = 3(6 + 5p) -15 + -24p + (-2 + 40p) = 3(6 + 5p) Reorder the terms: -15 + -2 + -24p + 40p = 3(6 + 5p) Combine like terms: -15 + -2 = -17 -17 + -24p + 40p = 3(6 + 5p) Combine like terms: -24p + 40p = 16p -17 + 16p = 3(6 + 5p) -17 + 16p = (6 * 3 + 5p * 3) -17 + 16p = (18 + 15p) Solving -17 + 16p = 18 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -17 + 16p + -15p = 18 + 15p + -15p Combine like terms: 16p + -15p = 1p -17 + 1p = 18 + 15p + -15p Combine like terms: 15p + -15p = 0 -17 + 1p = 18 + 0 -17 + 1p = 18 Add '17' to each side of the equation. -17 + 17 + 1p = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 18 + 17 1p = 18 + 17 Combine like terms: 18 + 17 = 35 1p = 35 Divide each side by '1'. p = 35 Simplifying p = 35
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