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Simplifying 2c + 2d + -8(6c + -3d) = 0 2c + 2d + (6c * -8 + -3d * -8) = 0 2c + 2d + (-48c + 24d) = 0 Reorder the terms: 2c + -48c + 2d + 24d = 0 Combine like terms: 2c + -48c = -46c -46c + 2d + 24d = 0 Combine like terms: 2d + 24d = 26d -46c + 26d = 0 Solving -46c + 26d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-26d' to each side of the equation. -46c + 26d + -26d = 0 + -26d Combine like terms: 26d + -26d = 0 -46c + 0 = 0 + -26d -46c = 0 + -26d Remove the zero: -46c = -26d Divide each side by '-46'. c = 0.5652173913d Simplifying c = 0.5652173913d
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