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Simplifying 6x + -2y + -4z = 0 Solving 6x + -2y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 6x + -2y + 2y + -4z = 0 + 2y Combine like terms: -2y + 2y = 0 6x + 0 + -4z = 0 + 2y 6x + -4z = 0 + 2y Remove the zero: 6x + -4z = 2y Add '4z' to each side of the equation. 6x + -4z + 4z = 2y + 4z Combine like terms: -4z + 4z = 0 6x + 0 = 2y + 4z 6x = 2y + 4z Divide each side by '6'. x = 0.3333333333y + 0.6666666667z Simplifying x = 0.3333333333y + 0.6666666667z
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