Simplify :
$(2 a - 17 b) + [2 a - 3 b - \{2 a - 3 b - (4 a - 2 b)\}]$

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Solution

$= (2 a - 17 b) + [2 a - 3 b - \{2 a - 3 b - (4 a - 2 b)\}] = (2 a - 17 b) + [2 a - 3 b - \{2 a - 3 b - 4 a + 2 b\}] = (2 a - 17 b) + [2 a - 3 b - 2 a + 3 b + 4 a - 2 b] = 2 a - 17 b + 2 a - 3 b - 2 a + 3 b + 4 a - 2 b = 6 a - 19 b$

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2 a - [4 b - {4 a - (3 b - 2 a + 2 b)}]

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