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Simplifying 5c + 6d + -2c + -3d = 0 Reorder the terms: 5c + -2c + 6d + -3d = 0 Combine like terms: 5c + -2c = 3c 3c + 6d + -3d = 0 Combine like terms: 6d + -3d = 3d 3c + 3d = 0 Solving 3c + 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. 3c + 3d + -3d = 0 + -3d Combine like terms: 3d + -3d = 0 3c + 0 = 0 + -3d 3c = 0 + -3d Remove the zero: 3c = -3d Divide each side by '3'. c = -1d Simplifying c = -1d
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