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Simplifying [9(p + 5) + -17] + [2(p + -2) + 1] = 0 Reorder the terms: [9(5 + p) + -17] + [2(p + -2) + 1] = 0 [(5 * 9 + p * 9) + -17] + [2(p + -2) + 1] = 0 [(45 + 9p) + -17] + [2(p + -2) + 1] = 0 Reorder the terms: [45 + -17 + 9p] + [2(p + -2) + 1] = 0 Combine like terms: 45 + -17 = 28 [28 + 9p] + [2(p + -2) + 1] = 0 Remove brackets around [28 + 9p] 28 + 9p + [2(p + -2) + 1] = 0 Reorder the terms: 28 + 9p + [2(-2 + p) + 1] = 0 28 + 9p + [(-2 * 2 + p * 2) + 1] = 0 28 + 9p + [(-4 + 2p) + 1] = 0 Reorder the terms: 28 + 9p + [-4 + 1 + 2p] = 0 Combine like terms: -4 + 1 = -3 28 + 9p + [-3 + 2p] = 0 Remove brackets around [-3 + 2p] 28 + 9p + -3 + 2p = 0 Reorder the terms: 28 + -3 + 9p + 2p = 0 Combine like terms: 28 + -3 = 25 25 + 9p + 2p = 0 Combine like terms: 9p + 2p = 11p 25 + 11p = 0 Solving 25 + 11p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 11p = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 11p = 0 + -25 11p = 0 + -25 Combine like terms: 0 + -25 = -25 11p = -25 Divide each side by '11'. p = -2.272727273 Simplifying p = -2.272727273
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