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Simplifying 9c + 7d + -5(2c + -4d) = 0 9c + 7d + (2c * -5 + -4d * -5) = 0 9c + 7d + (-10c + 20d) = 0 Reorder the terms: 9c + -10c + 7d + 20d = 0 Combine like terms: 9c + -10c = -1c -1c + 7d + 20d = 0 Combine like terms: 7d + 20d = 27d -1c + 27d = 0 Solving -1c + 27d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-27d' to each side of the equation. -1c + 27d + -27d = 0 + -27d Combine like terms: 27d + -27d = 0 -1c + 0 = 0 + -27d -1c = 0 + -27d Remove the zero: -1c = -27d Divide each side by '-1'. c = 27d Simplifying c = 27d
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