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Numbers in General Form

Simplify : ...

Question

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

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Solution

$a - (2 b - (3 a - (2 b - 3 c)))$
$\Rightarrow a - (2 b - (3 a - 2 b + 3 c))$
$\Rightarrow a - (2 b - 3 a + 2 b - 3 c)$
$\Rightarrow a - (4 b - 3 a - 3 c)$
$\Rightarrow a - 4 b + 3 a + 3 c$
$\Rightarrow 4 a - 4 b + 3 c$

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