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Simplifying 5c + 2d + -3c + d = 0 Reorder the terms: 5c + -3c + 2d + d = 0 Combine like terms: 5c + -3c = 2c 2c + 2d + d = 0 Combine like terms: 2d + d = 3d 2c + 3d = 0 Solving 2c + 3d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3d' to each side of the equation. 2c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 2c + 0 = 0 + -3d 2c = 0 + -3d Remove the zero: 2c = -3d Divide each side by '2'. c = -1.5d Simplifying c = -1.5d
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