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Simplifying 0.4X + 0.4Y + 0.2Z = 0 Solving 0.4X + 0.4Y + 0.2Z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.4Y' to each side of the equation. 0.4X + 0.4Y + -0.4Y + 0.2Z = 0 + -0.4Y Combine like terms: 0.4Y + -0.4Y = 0.0 0.4X + 0.0 + 0.2Z = 0 + -0.4Y 0.4X + 0.2Z = 0 + -0.4Y Remove the zero: 0.4X + 0.2Z = -0.4Y Add '-0.2Z' to each side of the equation. 0.4X + 0.2Z + -0.2Z = -0.4Y + -0.2Z Combine like terms: 0.2Z + -0.2Z = 0.0 0.4X + 0.0 = -0.4Y + -0.2Z 0.4X = -0.4Y + -0.2Z Divide each side by '0.4'. X = -1Y + -0.5Z Simplifying X = -1Y + -0.5Z
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