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Simplifying 2c + 6d + 2(c + -2d) = 0 2c + 6d + (c * 2 + -2d * 2) = 0 2c + 6d + (2c + -4d) = 0 Reorder the terms: 2c + 2c + 6d + -4d = 0 Combine like terms: 2c + 2c = 4c 4c + 6d + -4d = 0 Combine like terms: 6d + -4d = 2d 4c + 2d = 0 Solving 4c + 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. 4c + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 4c + 0 = 0 + -2d 4c = 0 + -2d Remove the zero: 4c = -2d Divide each side by '4'. c = -0.5d Simplifying c = -0.5d
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