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Simplifying 8c + 6d + -9(6c + -3d) = 0 8c + 6d + (6c * -9 + -3d * -9) = 0 8c + 6d + (-54c + 27d) = 0 Reorder the terms: 8c + -54c + 6d + 27d = 0 Combine like terms: 8c + -54c = -46c -46c + 6d + 27d = 0 Combine like terms: 6d + 27d = 33d -46c + 33d = 0 Solving -46c + 33d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-33d' to each side of the equation. -46c + 33d + -33d = 0 + -33d Combine like terms: 33d + -33d = 0 -46c + 0 = 0 + -33d -46c = 0 + -33d Remove the zero: -46c = -33d Divide each side by '-46'. c = 0.7173913043d Simplifying c = 0.7173913043d
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