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