Evaluate: $|- 41 - 9| - |16 - (- 5)|$

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Solution

Step:Simplification.
$|- 41 - 9| - |16 - (- 5)| = |- 50| - |16 + (additive inverse of - 5)|$ ( $∵$ In subtraction, we add the additive inverse of the number to be subtracted)
$= |- 50| - |16 + 5|$ ( $∵$ additive inverse of $- 5$ is $5$ )
$= |- 50| - |21|$
$= 50 - 21$ ( $∵ |- 50| = - (- 50) = 50$ and $|21| = 21$ )
$= 29$
Therefore, the required answer is $29$ .

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