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Simplifying 6x + 4y + 12z = 0 Solving 6x + 4y + 12z = 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 + 12z = 0 + -4y Combine like terms: 4y + -4y = 0 6x + 0 + 12z = 0 + -4y 6x + 12z = 0 + -4y Remove the zero: 6x + 12z = -4y Add '-12z' to each side of the equation. 6x + 12z + -12z = -4y + -12z Combine like terms: 12z + -12z = 0 6x + 0 = -4y + -12z 6x = -4y + -12z Divide each side by '6'. x = -0.6666666667y + -2z Simplifying x = -0.6666666667y + -2z
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