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Simplifying -3(8p + 6) + -2(4 + -20p) = 3(7 + 5p) Reorder the terms: -3(6 + 8p) + -2(4 + -20p) = 3(7 + 5p) (6 * -3 + 8p * -3) + -2(4 + -20p) = 3(7 + 5p) (-18 + -24p) + -2(4 + -20p) = 3(7 + 5p) -18 + -24p + (4 * -2 + -20p * -2) = 3(7 + 5p) -18 + -24p + (-8 + 40p) = 3(7 + 5p) Reorder the terms: -18 + -8 + -24p + 40p = 3(7 + 5p) Combine like terms: -18 + -8 = -26 -26 + -24p + 40p = 3(7 + 5p) Combine like terms: -24p + 40p = 16p -26 + 16p = 3(7 + 5p) -26 + 16p = (7 * 3 + 5p * 3) -26 + 16p = (21 + 15p) Solving -26 + 16p = 21 + 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. -26 + 16p + -15p = 21 + 15p + -15p Combine like terms: 16p + -15p = 1p -26 + 1p = 21 + 15p + -15p Combine like terms: 15p + -15p = 0 -26 + 1p = 21 + 0 -26 + 1p = 21 Add '26' to each side of the equation. -26 + 26 + 1p = 21 + 26 Combine like terms: -26 + 26 = 0 0 + 1p = 21 + 26 1p = 21 + 26 Combine like terms: 21 + 26 = 47 1p = 47 Divide each side by '1'. p = 47 Simplifying p = 47
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