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Simplifying 8c + 2d + -2(5c + -4d) = 0 8c + 2d + (5c * -2 + -4d * -2) = 0 8c + 2d + (-10c + 8d) = 0 Reorder the terms: 8c + -10c + 2d + 8d = 0 Combine like terms: 8c + -10c = -2c -2c + 2d + 8d = 0 Combine like terms: 2d + 8d = 10d -2c + 10d = 0 Solving -2c + 10d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10d' to each side of the equation. -2c + 10d + -10d = 0 + -10d Combine like terms: 10d + -10d = 0 -2c + 0 = 0 + -10d -2c = 0 + -10d Remove the zero: -2c = -10d Divide each side by '-2'. c = 5d Simplifying c = 5d
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