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Simplifying 6x + 4y + 3z = 0 Solving 6x + 4y + 3z = 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. 6x + 4y + -4y + 3z = 0 + -4y Combine like terms: 4y + -4y = 0 6x + 0 + 3z = 0 + -4y 6x + 3z = 0 + -4y Remove the zero: 6x + 3z = -4y Add '-3z' to each side of the equation. 6x + 3z + -3z = -4y + -3z Combine like terms: 3z + -3z = 0 6x + 0 = -4y + -3z 6x = -4y + -3z Divide each side by '6'. x = -0.6666666667y + -0.5z Simplifying x = -0.6666666667y + -0.5z
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