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Simplifying 3c + 4d + 2c + 5d + -4c = 0 Reorder the terms: 3c + 2c + -4c + 4d + 5d = 0 Combine like terms: 3c + 2c = 5c 5c + -4c + 4d + 5d = 0 Combine like terms: 5c + -4c = 1c 1c + 4d + 5d = 0 Combine like terms: 4d + 5d = 9d 1c + 9d = 0 Solving 1c + 9d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. 1c + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 1c + 0 = 0 + -9d 1c = 0 + -9d Remove the zero: 1c = -9d Divide each side by '1'. c = -9d Simplifying c = -9d
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