$5 x - 4 y - {7 x - (3 z - 2 y) + 4 z - 3 (x + 3 y - 2 z)}] =$

9 x + 11 y

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9 x + 7 z

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9 x - 11 y

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9 x - 11 y + 7 z

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Solution

The correct option is D $9 x - 11 y + 7 z$
$\Rightarrow$ $5 x - [4 y - {7 x - (3 z - 2 y) + 4 z - 3 (x + 3 y - 2 z)}]$
$\Rightarrow$ $5 x - [4 y - {7 x - 3 z + 2 y + 4 z - 3 x - 9 y + 6 z}]$
$\Rightarrow$ $5 x - [4 y - {4 x + 7 z - 7 y}]$
$\Rightarrow$ $5 x - [4 y - 4 x - 7 z + 7 y]$
$\Rightarrow$ $5 x - [11 y - 4 x - 7 z]$
$\Rightarrow$ $5 x - 11 y + 4 x + 7 z$
$∴$ $9 x - 11 y + 7 z$

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