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Simplifying 5x + -8y + 9z = 0 Solving 5x + -8y + 9z = 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. 5x + -8y + 8y + 9z = 0 + 8y Combine like terms: -8y + 8y = 0 5x + 0 + 9z = 0 + 8y 5x + 9z = 0 + 8y Remove the zero: 5x + 9z = 8y Add '-9z' to each side of the equation. 5x + 9z + -9z = 8y + -9z Combine like terms: 9z + -9z = 0 5x + 0 = 8y + -9z 5x = 8y + -9z Divide each side by '5'. x = 1.6y + -1.8z Simplifying x = 1.6y + -1.8z
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