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Simplifying 6x + 8y + -10z = 0 Solving 6x + 8y + -10z = 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. 6x + 8y + -8y + -10z = 0 + -8y Combine like terms: 8y + -8y = 0 6x + 0 + -10z = 0 + -8y 6x + -10z = 0 + -8y Remove the zero: 6x + -10z = -8y Add '10z' to each side of the equation. 6x + -10z + 10z = -8y + 10z Combine like terms: -10z + 10z = 0 6x + 0 = -8y + 10z 6x = -8y + 10z Divide each side by '6'. x = -1.333333333y + 1.666666667z Simplifying x = -1.333333333y + 1.666666667z
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