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Simplifying [9(p + 5) + -19] + [3(p + -3) + 3] = 0 Reorder the terms: [9(5 + p) + -19] + [3(p + -3) + 3] = 0 [(5 * 9 + p * 9) + -19] + [3(p + -3) + 3] = 0 [(45 + 9p) + -19] + [3(p + -3) + 3] = 0 Reorder the terms: [45 + -19 + 9p] + [3(p + -3) + 3] = 0 Combine like terms: 45 + -19 = 26 [26 + 9p] + [3(p + -3) + 3] = 0 Remove brackets around [26 + 9p] 26 + 9p + [3(p + -3) + 3] = 0 Reorder the terms: 26 + 9p + [3(-3 + p) + 3] = 0 26 + 9p + [(-3 * 3 + p * 3) + 3] = 0 26 + 9p + [(-9 + 3p) + 3] = 0 Reorder the terms: 26 + 9p + [-9 + 3 + 3p] = 0 Combine like terms: -9 + 3 = -6 26 + 9p + [-6 + 3p] = 0 Remove brackets around [-6 + 3p] 26 + 9p + -6 + 3p = 0 Reorder the terms: 26 + -6 + 9p + 3p = 0 Combine like terms: 26 + -6 = 20 20 + 9p + 3p = 0 Combine like terms: 9p + 3p = 12p 20 + 12p = 0 Solving 20 + 12p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 12p = 0 + -20 12p = 0 + -20 Combine like terms: 0 + -20 = -20 12p = -20 Divide each side by '12'. p = -1.666666667 Simplifying p = -1.666666667
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