Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = - m - 3n + 8. Simplify R - S + T. m - 2n - 2 - m + 2n - 2 3m - 4n + 14 - 3m - 4n + 14

The answer is - 3m-4n+14

Step-by-step explanation:

Simplify R-S+T

Step 1: Replace for R, S and T

Where R=11-2m, S=n+5, T=-m-3n+8

(11-2m) - (n+5) + (-m-3n+8)

Step 2: Open the brackets

11-2m-n-5-m-3n+8

Step 3: Collect the like terms

(-2m-m), (-n-3n), (11+8-5)

Solving for each group

(-3m), (-4n), (14)

Step 4: Add up all the terms

The answer is - 3m-4n+14