Simplify m - {n + [p - (m + n - p)]}.

Solution:

Given expression is

m - {n + [p - (m + n - p)]}.

Using the BODMAS rule,

We need to solve the innermost bracket first

= m - {n + [p - m - n + p)]}.

= m - {n + [2p - m - n)]}.

= m - {n + [2p - m - n)]}.

= m - {n + 2p - m - n }

= m - n - 2p + m + n

= 2m - 2p

= 2(m - p)

Simplify m - {n + [p - (m + n - p)]}.

Summary:

The simplified form of m - {n + [p - (m + n - p)]} is 2(m - p).