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

a. - 2m + 2p

b. 2m - 2p

c. - 2m - 2p

To simplify the following expression, we first simplify the terms inside the parenthesis from inner going outer. The first one is [p - (m + n - p) ] equal to p - m - n + p = 2p - m - n. Then, n + 2p - m - n equal to 2p - m. Then, m - 2p + m equal to 2m - 2p. Answer is B

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

= m - [n + (p - m - n + p) ]

= m - (n + 2p - m - n)

= m - (2p - m)

= m - 2p + m

= 2m - 2p

Amswer: b. 2m - 2p