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Simplifying 2x + -1y + -4z = 0 Solving 2x + -1y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y + -4z = 0 + y Combine like terms: -1y + y = 0 2x + 0 + -4z = 0 + y 2x + -4z = 0 + y Remove the zero: 2x + -4z = y Add '4z' to each side of the equation. 2x + -4z + 4z = y + 4z Combine like terms: -4z + 4z = 0 2x + 0 = y + 4z 2x = y + 4z Divide each side by '2'. x = 0.5y + 2z Simplifying x = 0.5y + 2z
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