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Simplifying [7(c + 5) + -17] + [2(c + -3) + 5] = 0 Reorder the terms: [7(5 + c) + -17] + [2(c + -3) + 5] = 0 [(5 * 7 + c * 7) + -17] + [2(c + -3) + 5] = 0 [(35 + 7c) + -17] + [2(c + -3) + 5] = 0 Reorder the terms: [35 + -17 + 7c] + [2(c + -3) + 5] = 0 Combine like terms: 35 + -17 = 18 [18 + 7c] + [2(c + -3) + 5] = 0 Remove brackets around [18 + 7c] 18 + 7c + [2(c + -3) + 5] = 0 Reorder the terms: 18 + 7c + [2(-3 + c) + 5] = 0 18 + 7c + [(-3 * 2 + c * 2) + 5] = 0 18 + 7c + [(-6 + 2c) + 5] = 0 Reorder the terms: 18 + 7c + [-6 + 5 + 2c] = 0 Combine like terms: -6 + 5 = -1 18 + 7c + [-1 + 2c] = 0 Remove brackets around [-1 + 2c] 18 + 7c + -1 + 2c = 0 Reorder the terms: 18 + -1 + 7c + 2c = 0 Combine like terms: 18 + -1 = 17 17 + 7c + 2c = 0 Combine like terms: 7c + 2c = 9c 17 + 9c = 0 Solving 17 + 9c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9c = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 9c = 0 + -17 9c = 0 + -17 Combine like terms: 0 + -17 = -17 9c = -17 Divide each side by '9'. c = -1.888888889 Simplifying c = -1.888888889
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