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Simplifying [8(p + 5) + -19] + [2(p + -3) + 5] = 0 Reorder the terms: [8(5 + p) + -19] + [2(p + -3) + 5] = 0 [(5 * 8 + p * 8) + -19] + [2(p + -3) + 5] = 0 [(40 + 8p) + -19] + [2(p + -3) + 5] = 0 Reorder the terms: [40 + -19 + 8p] + [2(p + -3) + 5] = 0 Combine like terms: 40 + -19 = 21 [21 + 8p] + [2(p + -3) + 5] = 0 Remove brackets around [21 + 8p] 21 + 8p + [2(p + -3) + 5] = 0 Reorder the terms: 21 + 8p + [2(-3 + p) + 5] = 0 21 + 8p + [(-3 * 2 + p * 2) + 5] = 0 21 + 8p + [(-6 + 2p) + 5] = 0 Reorder the terms: 21 + 8p + [-6 + 5 + 2p] = 0 Combine like terms: -6 + 5 = -1 21 + 8p + [-1 + 2p] = 0 Remove brackets around [-1 + 2p] 21 + 8p + -1 + 2p = 0 Reorder the terms: 21 + -1 + 8p + 2p = 0 Combine like terms: 21 + -1 = 20 20 + 8p + 2p = 0 Combine like terms: 8p + 2p = 10p 20 + 10p = 0 Solving 20 + 10p = 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 + 10p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10p = 0 + -20 10p = 0 + -20 Combine like terms: 0 + -20 = -20 10p = -20 Divide each side by '10'. p = -2 Simplifying p = -2
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