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Simplifying 6c + 5d + 3c + -2d = 0 Reorder the terms: 6c + 3c + 5d + -2d = 0 Combine like terms: 6c + 3c = 9c 9c + 5d + -2d = 0 Combine like terms: 5d + -2d = 3d 9c + 3d = 0 Solving 9c + 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. 9c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 9c + 0 = 0 + -3d 9c = 0 + -3d Remove the zero: 9c = -3d Divide each side by '9'. c = -0.3333333333d Simplifying c = -0.3333333333d
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