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Simplifying 8c + 4d + -2(2c + -8d) = 0 8c + 4d + (2c * -2 + -8d * -2) = 0 8c + 4d + (-4c + 16d) = 0 Reorder the terms: 8c + -4c + 4d + 16d = 0 Combine like terms: 8c + -4c = 4c 4c + 4d + 16d = 0 Combine like terms: 4d + 16d = 20d 4c + 20d = 0 Solving 4c + 20d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20d' to each side of the equation. 4c + 20d + -20d = 0 + -20d Combine like terms: 20d + -20d = 0 4c + 0 = 0 + -20d 4c = 0 + -20d Remove the zero: 4c = -20d Divide each side by '4'. c = -5d Simplifying c = -5d
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