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Simplifying 6c + 5d + 3c + 8d = 0 Reorder the terms: 6c + 3c + 5d + 8d = 0 Combine like terms: 6c + 3c = 9c 9c + 5d + 8d = 0 Combine like terms: 5d + 8d = 13d 9c + 13d = 0 Solving 9c + 13d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13d' to each side of the equation. 9c + 13d + -13d = 0 + -13d Combine like terms: 13d + -13d = 0 9c + 0 = 0 + -13d 9c = 0 + -13d Remove the zero: 9c = -13d Divide each side by '9'. c = -1.444444444d Simplifying c = -1.444444444d
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