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Simplifying 4c + 5d + -2c + 3d = 0 Reorder the terms: 4c + -2c + 5d + 3d = 0 Combine like terms: 4c + -2c = 2c 2c + 5d + 3d = 0 Combine like terms: 5d + 3d = 8d 2c + 8d = 0 Solving 2c + 8d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8d' to each side of the equation. 2c + 8d + -8d = 0 + -8d Combine like terms: 8d + -8d = 0 2c + 0 = 0 + -8d 2c = 0 + -8d Remove the zero: 2c = -8d Divide each side by '2'. c = -4d Simplifying c = -4d
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