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Simplifying Y(C + d) + n(c + d) = 0 (C * Y + d * Y) + n(c + d) = 0 (CY + dY) + n(c + d) = 0 CY + dY + (c * n + d * n) = 0 CY + dY + (cn + dn) = 0 Reorder the terms: CY + cn + dY + dn = 0 Solving CY + cn + dY + dn = 0 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-1cn' to each side of the equation. CY + cn + dY + -1cn + dn = 0 + -1cn Reorder the terms: CY + cn + -1cn + dY + dn = 0 + -1cn Combine like terms: cn + -1cn = 0 CY + 0 + dY + dn = 0 + -1cn CY + dY + dn = 0 + -1cn Remove the zero: CY + dY + dn = -1cn Add '-1dY' to each side of the equation. CY + dY + -1dY + dn = -1cn + -1dY Combine like terms: dY + -1dY = 0 CY + 0 + dn = -1cn + -1dY CY + dn = -1cn + -1dY Add '-1dn' to each side of the equation. CY + dn + -1dn = -1cn + -1dY + -1dn Combine like terms: dn + -1dn = 0 CY + 0 = -1cn + -1dY + -1dn CY = -1cn + -1dY + -1dn Divide each side by 'Y'. C = -1cnY-1 + -1d + -1dnY-1 Simplifying C = -1cnY-1 + -1d + -1dnY-1
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