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Simplifying 6c + 2d + -5(2c + -4d) = 0 6c + 2d + (2c * -5 + -4d * -5) = 0 6c + 2d + (-10c + 20d) = 0 Reorder the terms: 6c + -10c + 2d + 20d = 0 Combine like terms: 6c + -10c = -4c -4c + 2d + 20d = 0 Combine like terms: 2d + 20d = 22d -4c + 22d = 0 Solving -4c + 22d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22d' to each side of the equation. -4c + 22d + -22d = 0 + -22d Combine like terms: 22d + -22d = 0 -4c + 0 = 0 + -22d -4c = 0 + -22d Remove the zero: -4c = -22d Divide each side by '-4'. c = 5.5d Simplifying c = 5.5d
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