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Simplifying -3(8p + 4) + -2(2 + -20p) = 3(9 + 5p) Reorder the terms: -3(4 + 8p) + -2(2 + -20p) = 3(9 + 5p) (4 * -3 + 8p * -3) + -2(2 + -20p) = 3(9 + 5p) (-12 + -24p) + -2(2 + -20p) = 3(9 + 5p) -12 + -24p + (2 * -2 + -20p * -2) = 3(9 + 5p) -12 + -24p + (-4 + 40p) = 3(9 + 5p) Reorder the terms: -12 + -4 + -24p + 40p = 3(9 + 5p) Combine like terms: -12 + -4 = -16 -16 + -24p + 40p = 3(9 + 5p) Combine like terms: -24p + 40p = 16p -16 + 16p = 3(9 + 5p) -16 + 16p = (9 * 3 + 5p * 3) -16 + 16p = (27 + 15p) Solving -16 + 16p = 27 + 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. -16 + 16p + -15p = 27 + 15p + -15p Combine like terms: 16p + -15p = 1p -16 + 1p = 27 + 15p + -15p Combine like terms: 15p + -15p = 0 -16 + 1p = 27 + 0 -16 + 1p = 27 Add '16' to each side of the equation. -16 + 16 + 1p = 27 + 16 Combine like terms: -16 + 16 = 0 0 + 1p = 27 + 16 1p = 27 + 16 Combine like terms: 27 + 16 = 43 1p = 43 Divide each side by '1'. p = 43 Simplifying p = 43
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