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Simplifying 3c + 9d + 2c + d = 0 Reorder the terms: 3c + 2c + 9d + d = 0 Combine like terms: 3c + 2c = 5c 5c + 9d + d = 0 Combine like terms: 9d + d = 10d 5c + 10d = 0 Solving 5c + 10d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10d' to each side of the equation. 5c + 10d + -10d = 0 + -10d Combine like terms: 10d + -10d = 0 5c + 0 = 0 + -10d 5c = 0 + -10d Remove the zero: 5c = -10d Divide each side by '5'. c = -2d Simplifying c = -2d
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