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Simplifying 3c + 2d + 5c + 1d = 0 Reorder the terms: 3c + 5c + 2d + 1d = 0 Combine like terms: 3c + 5c = 8c 8c + 2d + 1d = 0 Combine like terms: 2d + 1d = 3d 8c + 3d = 0 Solving 8c + 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. 8c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 8c + 0 = 0 + -3d 8c = 0 + -3d Remove the zero: 8c = -3d Divide each side by '8'. c = -0.375d Simplifying c = -0.375d
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