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Simplifying 6c + 4d + -5c + 7d = 0 Reorder the terms: 6c + -5c + 4d + 7d = 0 Combine like terms: 6c + -5c = 1c 1c + 4d + 7d = 0 Combine like terms: 4d + 7d = 11d 1c + 11d = 0 Solving 1c + 11d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11d' to each side of the equation. 1c + 11d + -11d = 0 + -11d Combine like terms: 11d + -11d = 0 1c + 0 = 0 + -11d 1c = 0 + -11d Remove the zero: 1c = -11d Divide each side by '1'. c = -11d Simplifying c = -11d
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