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Simplifying [9(p + 5) + -17] + [3(p + -2) + 2] = 0 Reorder the terms: [9(5 + p) + -17] + [3(p + -2) + 2] = 0 [(5 * 9 + p * 9) + -17] + [3(p + -2) + 2] = 0 [(45 + 9p) + -17] + [3(p + -2) + 2] = 0 Reorder the terms: [45 + -17 + 9p] + [3(p + -2) + 2] = 0 Combine like terms: 45 + -17 = 28 [28 + 9p] + [3(p + -2) + 2] = 0 Remove brackets around [28 + 9p] 28 + 9p + [3(p + -2) + 2] = 0 Reorder the terms: 28 + 9p + [3(-2 + p) + 2] = 0 28 + 9p + [(-2 * 3 + p * 3) + 2] = 0 28 + 9p + [(-6 + 3p) + 2] = 0 Reorder the terms: 28 + 9p + [-6 + 2 + 3p] = 0 Combine like terms: -6 + 2 = -4 28 + 9p + [-4 + 3p] = 0 Remove brackets around [-4 + 3p] 28 + 9p + -4 + 3p = 0 Reorder the terms: 28 + -4 + 9p + 3p = 0 Combine like terms: 28 + -4 = 24 24 + 9p + 3p = 0 Combine like terms: 9p + 3p = 12p 24 + 12p = 0 Solving 24 + 12p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12p = 0 + -24 12p = 0 + -24 Combine like terms: 0 + -24 = -24 12p = -24 Divide each side by '12'. p = -2 Simplifying p = -2
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