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Simplifying -9(3x + -8y + 6z) = 0 (3x * -9 + -8y * -9 + 6z * -9) = 0 (-27x + 72y + -54z) = 0 Solving -27x + 72y + -54z = 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. -27x + 72y + -72y + -54z = 0 + -72y Combine like terms: 72y + -72y = 0 -27x + 0 + -54z = 0 + -72y -27x + -54z = 0 + -72y Remove the zero: -27x + -54z = -72y Add '54z' to each side of the equation. -27x + -54z + 54z = -72y + 54z Combine like terms: -54z + 54z = 0 -27x + 0 = -72y + 54z -27x = -72y + 54z Divide each side by '-27'. x = 2.666666667y + -2z Simplifying x = 2.666666667y + -2z
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