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Simplifying 5c + 2d + 3c + 4d = 0 Reorder the terms: 5c + 3c + 2d + 4d = 0 Combine like terms: 5c + 3c = 8c 8c + 2d + 4d = 0 Combine like terms: 2d + 4d = 6d 8c + 6d = 0 Solving 8c + 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. 8c + 6d + -6d = 0 + -6d Combine like terms: 6d + -6d = 0 8c + 0 = 0 + -6d 8c = 0 + -6d Remove the zero: 8c = -6d Divide each side by '8'. c = -0.75d Simplifying c = -0.75d
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