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Simplifying 0.3x + -0.4y + 0.6z = 0 Solving 0.3x + -0.4y + 0.6z = 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. 0.3x + -0.4y + 0.4y + 0.6z = 0 + 0.4y Combine like terms: -0.4y + 0.4y = 0.0 0.3x + 0.0 + 0.6z = 0 + 0.4y 0.3x + 0.6z = 0 + 0.4y Remove the zero: 0.3x + 0.6z = 0.4y Add '-0.6z' to each side of the equation. 0.3x + 0.6z + -0.6z = 0.4y + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 0.3x + 0.0 = 0.4y + -0.6z 0.3x = 0.4y + -0.6z Divide each side by '0.3'. x = 1.333333333y + -2z Simplifying x = 1.333333333y + -2z
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