Question

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify R - S + T

Answer 1

$Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8\\\\R-S+T=(11-2m)-(n+5)+(-m-3n+8)\\\\=11-2m-n-5-m-3n+8\\\\=(-2m-m)+(-n-3n)+(11-5+8)\\\\=\boxed{-3m-4n+14}$