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Simplifying 4c + 9d + 10c + 12d = 0 Reorder the terms: 4c + 10c + 9d + 12d = 0 Combine like terms: 4c + 10c = 14c 14c + 9d + 12d = 0 Combine like terms: 9d + 12d = 21d 14c + 21d = 0 Solving 14c + 21d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21d' to each side of the equation. 14c + 21d + -21d = 0 + -21d Combine like terms: 21d + -21d = 0 14c + 0 = 0 + -21d 14c = 0 + -21d Remove the zero: 14c = -21d Divide each side by '14'. c = -1.5d Simplifying c = -1.5d
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