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Simplifying (5p + 9) + -1(p + 3) + -1p + 6 + -1(-1 + -3p) = 0 Reorder the terms: (9 + 5p) + -1(p + 3) + -1p + 6 + -1(-1 + -3p) = 0 Remove parenthesis around (9 + 5p) 9 + 5p + -1(p + 3) + -1p + 6 + -1(-1 + -3p) = 0 Reorder the terms: 9 + 5p + -1(3 + p) + -1p + 6 + -1(-1 + -3p) = 0 9 + 5p + (3 * -1 + p * -1) + -1p + 6 + -1(-1 + -3p) = 0 9 + 5p + (-3 + -1p) + -1p + 6 + -1(-1 + -3p) = 0 9 + 5p + -3 + -1p + -1p + 6 + (-1 * -1 + -3p * -1) = 0 9 + 5p + -3 + -1p + -1p + 6 + (1 + 3p) = 0 Reorder the terms: 9 + -3 + 6 + 1 + 5p + -1p + -1p + 3p = 0 Combine like terms: 9 + -3 = 6 6 + 6 + 1 + 5p + -1p + -1p + 3p = 0 Combine like terms: 6 + 6 = 12 12 + 1 + 5p + -1p + -1p + 3p = 0 Combine like terms: 12 + 1 = 13 13 + 5p + -1p + -1p + 3p = 0 Combine like terms: 5p + -1p = 4p 13 + 4p + -1p + 3p = 0 Combine like terms: 4p + -1p = 3p 13 + 3p + 3p = 0 Combine like terms: 3p + 3p = 6p 13 + 6p = 0 Solving 13 + 6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6p = 0 + -13 6p = 0 + -13 Combine like terms: 0 + -13 = -13 6p = -13 Divide each side by '6'. p = -2.166666667 Simplifying p = -2.166666667
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