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