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Simplifying 9c + 9d + -6(3c + -3d) = 0 9c + 9d + (3c * -6 + -3d * -6) = 0 9c + 9d + (-18c + 18d) = 0 Reorder the terms: 9c + -18c + 9d + 18d = 0 Combine like terms: 9c + -18c = -9c -9c + 9d + 18d = 0 Combine like terms: 9d + 18d = 27d -9c + 27d = 0 Solving -9c + 27d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-27d' to each side of the equation. -9c + 27d + -27d = 0 + -27d Combine like terms: 27d + -27d = 0 -9c + 0 = 0 + -27d -9c = 0 + -27d Remove the zero: -9c = -27d Divide each side by '-9'. c = 3d Simplifying c = 3d
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