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Simplifying 2c + 9d + -3(6c + -3d) = 0 2c + 9d + (6c * -3 + -3d * -3) = 0 2c + 9d + (-18c + 9d) = 0 Reorder the terms: 2c + -18c + 9d + 9d = 0 Combine like terms: 2c + -18c = -16c -16c + 9d + 9d = 0 Combine like terms: 9d + 9d = 18d -16c + 18d = 0 Solving -16c + 18d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18d' to each side of the equation. -16c + 18d + -18d = 0 + -18d Combine like terms: 18d + -18d = 0 -16c + 0 = 0 + -18d -16c = 0 + -18d Remove the zero: -16c = -18d Divide each side by '-16'. c = 1.125d Simplifying c = 1.125d
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