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Addition and Subtraction of Algebraic Expression

Simplify: 11...

Question

Simplify:
$11 x - [8 y - {11 x - (7 z - 3 y) + 5 y - (3 x - 2 y - z)}]$

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Solution

$\Rightarrow 11 x - [8 y - {11 x - (7 z - 3 y) + 5 y - (3 x - 2 y - z)}]$

$\Rightarrow 11 x - [8 y - {11 x - 7 z + 3 y + 5 y - 3 x + 2 y + z}]$

$\Rightarrow 11 x - [8 y - 11 x + 7 z - 3 y - 5 y + 3 x - 2 y - z]$

$\Rightarrow 11 x - [- 8 x - 2 y + 6 z]$

$\Rightarrow 11 x + 8 x + 2 y - 6 z$

$\Rightarrow 19 x + 2 y - 6 z$

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