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Simplifying 3x + 2y + -4z = 0 Solving 3x + 2y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 3x + 2y + -2y + -4z = 0 + -2y Combine like terms: 2y + -2y = 0 3x + 0 + -4z = 0 + -2y 3x + -4z = 0 + -2y Remove the zero: 3x + -4z = -2y Add '4z' to each side of the equation. 3x + -4z + 4z = -2y + 4z Combine like terms: -4z + 4z = 0 3x + 0 = -2y + 4z 3x = -2y + 4z Divide each side by '3'. x = -0.6666666667y + 1.333333333z Simplifying x = -0.6666666667y + 1.333333333z
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