Simplify the following expression:
4n - m + 3p + 2m - n - p

Answer:
[tex] = 3n + m + 2p[/tex] (first option)
Step-by-step explanation:
[tex]4n - m + 3p + 2m - n - p[/tex]
[tex]4n - n = 4n - 1n = (4 - 1)n = 3n[/tex]
[tex]3n - m + 3p + 2m - p[/tex]
[tex] - m + 2 = - 1m + 2m = ( - 1 + 2)m = 1m = m[/tex]
[tex]3n + m + 3p - p[/tex]
[tex]3p - p = 3p - 1p = (3 - 1)p = 2p[/tex]
[tex] = 3n + m + 2p[/tex]