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Simplifying 6c + 8d + -4c + -2d = 0 Reorder the terms: 6c + -4c + 8d + -2d = 0 Combine like terms: 6c + -4c = 2c 2c + 8d + -2d = 0 Combine like terms: 8d + -2d = 6d 2c + 6d = 0 Solving 2c + 6d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6d' to each side of the equation. 2c + 6d + -6d = 0 + -6d Combine like terms: 6d + -6d = 0 2c + 0 = 0 + -6d 2c = 0 + -6d Remove the zero: 2c = -6d Divide each side by '2'. c = -3d Simplifying c = -3d
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