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Simplification of an Expression

Simplify: 2[...

Question

Simplify:
$2 [6 + 4 {m - 6 (7 - ¯ ¯¯¯¯¯¯¯¯¯¯¯ ¯ n + p) + q}]$ , then the answer is $8 m + 48 n + 48 p + 8 q - 324$
If true then enter $1$ and if false then enter $0$

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Solution

using BODMAS
$2 [6 + 4 {m - 6 (7 - ¯ n + p) + q}]$
$= 2 [6 + 4 {m - 42 + 6 n - 6 p + q}]$
$= 2 [6 + 4 m - 168 + 24 n - 24 p + 4 q]$
$=> 12 + 8 m - 336 + 48 n - 48 p + 8 q$
$=> 8 m - 324 + 48 n - 48 p + 8 q$
$=> 8 m + 48 n - 48 p + 8 q - 324$

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