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Simplifying [9(p + 5) + -16] + [3(p + -2) + 5] = 0 Reorder the terms: [9(5 + p) + -16] + [3(p + -2) + 5] = 0 [(5 * 9 + p * 9) + -16] + [3(p + -2) + 5] = 0 [(45 + 9p) + -16] + [3(p + -2) + 5] = 0 Reorder the terms: [45 + -16 + 9p] + [3(p + -2) + 5] = 0 Combine like terms: 45 + -16 = 29 [29 + 9p] + [3(p + -2) + 5] = 0 Remove brackets around [29 + 9p] 29 + 9p + [3(p + -2) + 5] = 0 Reorder the terms: 29 + 9p + [3(-2 + p) + 5] = 0 29 + 9p + [(-2 * 3 + p * 3) + 5] = 0 29 + 9p + [(-6 + 3p) + 5] = 0 Reorder the terms: 29 + 9p + [-6 + 5 + 3p] = 0 Combine like terms: -6 + 5 = -1 29 + 9p + [-1 + 3p] = 0 Remove brackets around [-1 + 3p] 29 + 9p + -1 + 3p = 0 Reorder the terms: 29 + -1 + 9p + 3p = 0 Combine like terms: 29 + -1 = 28 28 + 9p + 3p = 0 Combine like terms: 9p + 3p = 12p 28 + 12p = 0 Solving 28 + 12p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 12p = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 12p = 0 + -28 12p = 0 + -28 Combine like terms: 0 + -28 = -28 12p = -28 Divide each side by '12'. p = -2.333333333 Simplifying p = -2.333333333
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