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Simplifying 9.8c + 8d + -4.6c + 2.9d = 0 Reorder the terms: 9.8c + -4.6c + 8d + 2.9d = 0 Combine like terms: 9.8c + -4.6c = 5.2c 5.2c + 8d + 2.9d = 0 Combine like terms: 8d + 2.9d = 10.9d 5.2c + 10.9d = 0 Solving 5.2c + 10.9d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10.9d' to each side of the equation. 5.2c + 10.9d + -10.9d = 0 + -10.9d Combine like terms: 10.9d + -10.9d = 0.0 5.2c + 0.0 = 0 + -10.9d 5.2c = 0 + -10.9d Remove the zero: 5.2c = -10.9d Divide each side by '5.2'. c = -2.096153846d Simplifying c = -2.096153846d
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