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Simplifying -2(4p + 1) + -1(3p + -1) = 5(3 + -1p) + -9 Reorder the terms: -2(1 + 4p) + -1(3p + -1) = 5(3 + -1p) + -9 (1 * -2 + 4p * -2) + -1(3p + -1) = 5(3 + -1p) + -9 (-2 + -8p) + -1(3p + -1) = 5(3 + -1p) + -9 Reorder the terms: -2 + -8p + -1(-1 + 3p) = 5(3 + -1p) + -9 -2 + -8p + (-1 * -1 + 3p * -1) = 5(3 + -1p) + -9 -2 + -8p + (1 + -3p) = 5(3 + -1p) + -9 Reorder the terms: -2 + 1 + -8p + -3p = 5(3 + -1p) + -9 Combine like terms: -2 + 1 = -1 -1 + -8p + -3p = 5(3 + -1p) + -9 Combine like terms: -8p + -3p = -11p -1 + -11p = 5(3 + -1p) + -9 -1 + -11p = (3 * 5 + -1p * 5) + -9 -1 + -11p = (15 + -5p) + -9 Reorder the terms: -1 + -11p = 15 + -9 + -5p Combine like terms: 15 + -9 = 6 -1 + -11p = 6 + -5p Solving -1 + -11p = 6 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -1 + -11p + 5p = 6 + -5p + 5p Combine like terms: -11p + 5p = -6p -1 + -6p = 6 + -5p + 5p Combine like terms: -5p + 5p = 0 -1 + -6p = 6 + 0 -1 + -6p = 6 Add '1' to each side of the equation. -1 + 1 + -6p = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -6p = 6 + 1 -6p = 6 + 1 Combine like terms: 6 + 1 = 7 -6p = 7 Divide each side by '-6'. p = -1.166666667 Simplifying p = -1.166666667

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