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Simplifying 14x + 5y + -8z = 0 Solving 14x + 5y + -8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 14x + 5y + -5y + -8z = 0 + -5y Combine like terms: 5y + -5y = 0 14x + 0 + -8z = 0 + -5y 14x + -8z = 0 + -5y Remove the zero: 14x + -8z = -5y Add '8z' to each side of the equation. 14x + -8z + 8z = -5y + 8z Combine like terms: -8z + 8z = 0 14x + 0 = -5y + 8z 14x = -5y + 8z Divide each side by '14'. x = -0.3571428571y + 0.5714285714z Simplifying x = -0.3571428571y + 0.5714285714z
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