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Simplifying -3(8p + 5) + -2(3 + -20p) = 3(3 + 5p) Reorder the terms: -3(5 + 8p) + -2(3 + -20p) = 3(3 + 5p) (5 * -3 + 8p * -3) + -2(3 + -20p) = 3(3 + 5p) (-15 + -24p) + -2(3 + -20p) = 3(3 + 5p) -15 + -24p + (3 * -2 + -20p * -2) = 3(3 + 5p) -15 + -24p + (-6 + 40p) = 3(3 + 5p) Reorder the terms: -15 + -6 + -24p + 40p = 3(3 + 5p) Combine like terms: -15 + -6 = -21 -21 + -24p + 40p = 3(3 + 5p) Combine like terms: -24p + 40p = 16p -21 + 16p = 3(3 + 5p) -21 + 16p = (3 * 3 + 5p * 3) -21 + 16p = (9 + 15p) Solving -21 + 16p = 9 + 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. -21 + 16p + -15p = 9 + 15p + -15p Combine like terms: 16p + -15p = 1p -21 + 1p = 9 + 15p + -15p Combine like terms: 15p + -15p = 0 -21 + 1p = 9 + 0 -21 + 1p = 9 Add '21' to each side of the equation. -21 + 21 + 1p = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 9 + 21 1p = 9 + 21 Combine like terms: 9 + 21 = 30 1p = 30 Divide each side by '1'. p = 30 Simplifying p = 30
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