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Simplifying 9(6x + 8y + -5z) = 0 (6x * 9 + 8y * 9 + -5z * 9) = 0 (54x + 72y + -45z) = 0 Solving 54x + 72y + -45z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72y' to each side of the equation. 54x + 72y + -72y + -45z = 0 + -72y Combine like terms: 72y + -72y = 0 54x + 0 + -45z = 0 + -72y 54x + -45z = 0 + -72y Remove the zero: 54x + -45z = -72y Add '45z' to each side of the equation. 54x + -45z + 45z = -72y + 45z Combine like terms: -45z + 45z = 0 54x + 0 = -72y + 45z 54x = -72y + 45z Divide each side by '54'. x = -1.333333333y + 0.8333333333z Simplifying x = -1.333333333y + 0.8333333333z
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