How do you simplify $2 m - [n - (m - 2 n)]$ $2m - [n - (m - 2n)]$ ?

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Answer 1 · 2018-04-11T20:43:55

$3 m - 3 n$ $3m-3n$

Expand the curly brackets first

$2 m - [n - m + 2 n]$ $2m-[n-m+2n]$
$2 m - [3 n - m]$ $2m-[3n-m]$
Then expand the square brackets

$2 m - 3 n + m$ $2m-3n+m$
$3 m - 3 n$ $3m-3n$

Answer 2 · 2018-04-11T20:49:22

$3 m - 3 n$ $3m - 3n$

You start by getting rid of the brackets inside the other brackets

$2 m - (n - m + 2 n)$ $2m - ( n - m + 2n)$

The $+$ $+$ became a $-$ $-$ because there was another $-$ $-$ in front. Now you remove the other bracket

$2 m - n + m - 2 n$ $2m - n + m - 2n$

$3 m - 3 n$ $3m - 3n$

and if you like you can write this as a common factor

$3 (m - n)$ $3 ( m - n )$

The main thing is to understand that the signs alter as shown before.

How do you simplify 2m - [n - (m - 2n)]2m−[n−(m−2n)]2m - [n - (m - 2n)]?