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Simplifying [7(c + 5) + -18] + [2(c + -2) + 1] = 0 Reorder the terms: [7(5 + c) + -18] + [2(c + -2) + 1] = 0 [(5 * 7 + c * 7) + -18] + [2(c + -2) + 1] = 0 [(35 + 7c) + -18] + [2(c + -2) + 1] = 0 Reorder the terms: [35 + -18 + 7c] + [2(c + -2) + 1] = 0 Combine like terms: 35 + -18 = 17 [17 + 7c] + [2(c + -2) + 1] = 0 Remove brackets around [17 + 7c] 17 + 7c + [2(c + -2) + 1] = 0 Reorder the terms: 17 + 7c + [2(-2 + c) + 1] = 0 17 + 7c + [(-2 * 2 + c * 2) + 1] = 0 17 + 7c + [(-4 + 2c) + 1] = 0 Reorder the terms: 17 + 7c + [-4 + 1 + 2c] = 0 Combine like terms: -4 + 1 = -3 17 + 7c + [-3 + 2c] = 0 Remove brackets around [-3 + 2c] 17 + 7c + -3 + 2c = 0 Reorder the terms: 17 + -3 + 7c + 2c = 0 Combine like terms: 17 + -3 = 14 14 + 7c + 2c = 0 Combine like terms: 7c + 2c = 9c 14 + 9c = 0 Solving 14 + 9c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 9c = 0 + -14 9c = 0 + -14 Combine like terms: 0 + -14 = -14 9c = -14 Divide each side by '9'. c = -1.555555556 Simplifying c = -1.555555556
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