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

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Solution

Simplification:
$(2 a - 17 b) + [2 a - 3 b - {2 a - 3 b - (4 a - 2 b)}] = (2 a - 17 b) + [2 a - 3 b - 2 a + 3 b - (4 a - 2 b)] = (2 a - 17 b) + [2 a - 3 b - 2 a + 3 b - 4 a + 2 b] = (2 a - 17 b + 2 a - 3 b - 2 a + 3 b - 4 a + 2 b) = - 2 a - 15 b$
.Hence, $(2 a - 17 b) + [2 a - 3 b - {2 a - 3 b - (4 a - 2 b)}] = - 2 a - 15 b$

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