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Simplifying 5c + 2d + -3c + -4d = 0 Reorder the terms: 5c + -3c + 2d + -4d = 0 Combine like terms: 5c + -3c = 2c 2c + 2d + -4d = 0 Combine like terms: 2d + -4d = -2d 2c + -2d = 0 Solving 2c + -2d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. 2c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 2c + 0 = 0 + 2d 2c = 0 + 2d Remove the zero: 2c = 2d Divide each side by '2'. c = d Simplifying c = d
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