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Simplifying 2c + 3d + -3(3c + -8d) = 0 2c + 3d + (3c * -3 + -8d * -3) = 0 2c + 3d + (-9c + 24d) = 0 Reorder the terms: 2c + -9c + 3d + 24d = 0 Combine like terms: 2c + -9c = -7c -7c + 3d + 24d = 0 Combine like terms: 3d + 24d = 27d -7c + 27d = 0 Solving -7c + 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. -7c + 27d + -27d = 0 + -27d Combine like terms: 27d + -27d = 0 -7c + 0 = 0 + -27d -7c = 0 + -27d Remove the zero: -7c = -27d Divide each side by '-7'. c = 3.857142857d Simplifying c = 3.857142857d
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