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Simplifying [7(p + 5) + -18] + [3(p + -3) + 1] = 0 Reorder the terms: [7(5 + p) + -18] + [3(p + -3) + 1] = 0 [(5 * 7 + p * 7) + -18] + [3(p + -3) + 1] = 0 [(35 + 7p) + -18] + [3(p + -3) + 1] = 0 Reorder the terms: [35 + -18 + 7p] + [3(p + -3) + 1] = 0 Combine like terms: 35 + -18 = 17 [17 + 7p] + [3(p + -3) + 1] = 0 Remove brackets around [17 + 7p] 17 + 7p + [3(p + -3) + 1] = 0 Reorder the terms: 17 + 7p + [3(-3 + p) + 1] = 0 17 + 7p + [(-3 * 3 + p * 3) + 1] = 0 17 + 7p + [(-9 + 3p) + 1] = 0 Reorder the terms: 17 + 7p + [-9 + 1 + 3p] = 0 Combine like terms: -9 + 1 = -8 17 + 7p + [-8 + 3p] = 0 Remove brackets around [-8 + 3p] 17 + 7p + -8 + 3p = 0 Reorder the terms: 17 + -8 + 7p + 3p = 0 Combine like terms: 17 + -8 = 9 9 + 7p + 3p = 0 Combine like terms: 7p + 3p = 10p 9 + 10p = 0 Solving 9 + 10p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10p = 0 + -9 10p = 0 + -9 Combine like terms: 0 + -9 = -9 10p = -9 Divide each side by '10'. p = -0.9 Simplifying p = -0.9
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