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Simplifying 4c + 7d + 6c + 9d = 0 Reorder the terms: 4c + 6c + 7d + 9d = 0 Combine like terms: 4c + 6c = 10c 10c + 7d + 9d = 0 Combine like terms: 7d + 9d = 16d 10c + 16d = 0 Solving 10c + 16d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16d' to each side of the equation. 10c + 16d + -16d = 0 + -16d Combine like terms: 16d + -16d = 0 10c + 0 = 0 + -16d 10c = 0 + -16d Remove the zero: 10c = -16d Divide each side by '10'. c = -1.6d Simplifying c = -1.6d
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