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Simplifying -3(8p + 4) + -2(6 + -20p) = 3(5 + 5p) Reorder the terms: -3(4 + 8p) + -2(6 + -20p) = 3(5 + 5p) (4 * -3 + 8p * -3) + -2(6 + -20p) = 3(5 + 5p) (-12 + -24p) + -2(6 + -20p) = 3(5 + 5p) -12 + -24p + (6 * -2 + -20p * -2) = 3(5 + 5p) -12 + -24p + (-12 + 40p) = 3(5 + 5p) Reorder the terms: -12 + -12 + -24p + 40p = 3(5 + 5p) Combine like terms: -12 + -12 = -24 -24 + -24p + 40p = 3(5 + 5p) Combine like terms: -24p + 40p = 16p -24 + 16p = 3(5 + 5p) -24 + 16p = (5 * 3 + 5p * 3) -24 + 16p = (15 + 15p) Solving -24 + 16p = 15 + 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. -24 + 16p + -15p = 15 + 15p + -15p Combine like terms: 16p + -15p = 1p -24 + 1p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -24 + 1p = 15 + 0 -24 + 1p = 15 Add '24' to each side of the equation. -24 + 24 + 1p = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = 15 + 24 1p = 15 + 24 Combine like terms: 15 + 24 = 39 1p = 39 Divide each side by '1'. p = 39 Simplifying p = 39
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