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Simplifying 3x + -4y + 9z = 0 Solving 3x + -4y + 9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x + -4y + 4y + 9z = 0 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + 9z = 0 + 4y 3x + 9z = 0 + 4y Remove the zero: 3x + 9z = 4y Add '-9z' to each side of the equation. 3x + 9z + -9z = 4y + -9z Combine like terms: 9z + -9z = 0 3x + 0 = 4y + -9z 3x = 4y + -9z Divide each side by '3'. x = 1.333333333y + -3z Simplifying x = 1.333333333y + -3z
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