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-2/9-[1/4-(-1/9+1/36)-(-2/3+11/9)] =0

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$-\dfrac{2}{9}-\left[\dfrac{1}{4}-\left(-\dfrac{1}{9}+\dfrac{1}{36}\right)-\left(-\dfrac{2}{3}+\dfrac{11}{9}\right)\right] = 0$

$-\dfrac{2}{9}-\left[\dfrac{1}{4}-\left(\dfrac{-4+1}{36}\right)-\left(\dfrac{-6+11}{9}\right)\right] = 0$

$-\dfrac{2}{9}-\left[\dfrac{1}{4}-\left(-\dfrac{3}{36}\right)-\dfrac{5}{9}\right] = 0$

$-\dfrac{2}{9}-\left[\dfrac{1}{4}-\left(-\dfrac{\cancel3^1}{\cancel{36}_{12}}\right)-\dfrac{5}{9}\right] = 0$

$-\dfrac{2}{9}-\left[\dfrac{1}{4}-\left(-\dfrac{1}{12}\right)-\dfrac{5}{9}\right] = 0$

$-\dfrac{2}{9}-\left[\dfrac{1}{4}+\dfrac{1}{12}-\dfrac{5}{9}\right] = 0$

$-\dfrac{2}{9}-\left[\dfrac{9+3-20}{36}\right] = 0$

$-\dfrac{2}{9}-\left[-\dfrac{8}{36}\right] = 0$

$-\dfrac{2}{9}-\left[-\dfrac{\cancel8^2}{\cancel{36}_9}\right] = 0$

$-\dfrac{2}{9}-\left[-\dfrac{2}{9}\right] = 0$

$-\dfrac{2}{9}+\dfrac{2}{9} = 0$