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

8 c - 3 b

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8 c + 3 b

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- 8 c - 3 b

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- 8 c + 3 b

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Solution

The correct option is B $8 c + 3 b$
$\Rightarrow$ $2 a - [3 b - {a - (2 c - 3 b) + 4 c - 3 (a - b - 2 c)}]$
$\Rightarrow$ $2 a - [3 b - {a - 2 c + 3 b + 4 c - 3 a + 3 b + 6 c}]$
$\Rightarrow$ $2 a - [3 b - {- 2 a + 8 c + 6 b}]$
$\Rightarrow$ $2 a - [3 b + 2 a - 8 c - 6 b]$
$\Rightarrow$ $2 a - [- 3 b + 2 a - 8 c]$
$\Rightarrow$ $2 a + 3 b - 2 a + 8 c$
$∴$ $8 c + 3 b$

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