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Simplifying 8c + 5d + -6(9c + -4d) = 0 8c + 5d + (9c * -6 + -4d * -6) = 0 8c + 5d + (-54c + 24d) = 0 Reorder the terms: 8c + -54c + 5d + 24d = 0 Combine like terms: 8c + -54c = -46c -46c + 5d + 24d = 0 Combine like terms: 5d + 24d = 29d -46c + 29d = 0 Solving -46c + 29d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-29d' to each side of the equation. -46c + 29d + -29d = 0 + -29d Combine like terms: 29d + -29d = 0 -46c + 0 = 0 + -29d -46c = 0 + -29d Remove the zero: -46c = -29d Divide each side by '-46'. c = 0.6304347826d Simplifying c = 0.6304347826d
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