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\( -20 - \{22 - [10 + (6 - 9)]\} = -20 - \{22 - [10 - 3]\} = -20 - \{22 - 7\} = -20 - 15 = -35 \)
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Primero resolvamos la parte interna dentro de los paréntesis: \(6 - 9 = -3\). Luego, sumamos \(10 + (-3) = 7\). Sustituyendo en la expresión original tenemos: \( -20 - \{22 - 7\} \). Ahora, resolvemos \(22 - 7 = 15\). Finalmente, tenemos \( -20 - 15 = -35\). Así que el resultado es \(-35\).