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Simplifying 3x + 8y + -6z = 0 Solving 3x + 8y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 3x + 8y + -8y + -6z = 0 + -8y Combine like terms: 8y + -8y = 0 3x + 0 + -6z = 0 + -8y 3x + -6z = 0 + -8y Remove the zero: 3x + -6z = -8y Add '6z' to each side of the equation. 3x + -6z + 6z = -8y + 6z Combine like terms: -6z + 6z = 0 3x + 0 = -8y + 6z 3x = -8y + 6z Divide each side by '3'. x = -2.666666667y + 2z Simplifying x = -2.666666667y + 2z
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