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Simplifying 8x + 5y + 6z + -4x + 4z + -9y = 0 Reorder the terms: 8x + -4x + 5y + -9y + 6z + 4z = 0 Combine like terms: 8x + -4x = 4x 4x + 5y + -9y + 6z + 4z = 0 Combine like terms: 5y + -9y = -4y 4x + -4y + 6z + 4z = 0 Combine like terms: 6z + 4z = 10z 4x + -4y + 10z = 0 Solving 4x + -4y + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 4x + -4y + 4y + 10z = 0 + 4y Combine like terms: -4y + 4y = 0 4x + 0 + 10z = 0 + 4y 4x + 10z = 0 + 4y Remove the zero: 4x + 10z = 4y Add '-10z' to each side of the equation. 4x + 10z + -10z = 4y + -10z Combine like terms: 10z + -10z = 0 4x + 0 = 4y + -10z 4x = 4y + -10z Divide each side by '4'. x = y + -2.5z Simplifying x = y + -2.5z
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