Solve:
$- [3 a^{2} - 2 a^{2} + 9 a^{2} - {6 a^{2} - (- 2 a^{2} + 3 a^{2})}]$

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Solution

$- [{3 a}^{2} - {2 a}^{2} + {9 a}^{2} - {{6 a}^{2} - (- {2 a}^{2} + {3 a}^{2})}] = - [{3 a}^{2} - {2 a}^{2} + {9 a}^{2} - {{6 a}^{2} - (a^{2})}] = - [{3 a}^{2} - {2 a}^{2} + {9 a}^{2} - {5 a}^{2}] = - [a^{2} + {4 a}^{2}] = - [{5 a}^{2}] = - {5 a}^{2}$

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