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Simplifying 9x + 4y + -6z = 0 Solving 9x + 4y + -6z = 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. 9x + 4y + -4y + -6z = 0 + -4y Combine like terms: 4y + -4y = 0 9x + 0 + -6z = 0 + -4y 9x + -6z = 0 + -4y Remove the zero: 9x + -6z = -4y Add '6z' to each side of the equation. 9x + -6z + 6z = -4y + 6z Combine like terms: -6z + 6z = 0 9x + 0 = -4y + 6z 9x = -4y + 6z Divide each side by '9'. x = -0.4444444444y + 0.6666666667z Simplifying x = -0.4444444444y + 0.6666666667z
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