# Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8, how do you simplify R - S + T?

$14 - 3 m - 4 n$

#### Explanation:

Given that

$R = 11 - 2 m , \setminus S = n + 5$ & $T = - m - 3 n + 8$

$\setminus \therefore R - S + T$

$= 11 - 2 m - \left(n + 5\right) + \left(- m - 3 n + 8\right)$

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

$= 14 - 3 m - 4 n$

Jul 26, 2018

$14 - 3 m - 4 n$

#### Explanation:

$\text{Substitute the given values into the expression}$

$R - S + T$

$= 11 - 2 m - \left(n + 5\right) + \left(- m - 3 n + 8\right)$

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

$= \left(11 - 5 + 8\right) + \left(- 2 m - m\right) + \left(- n - 3 n\right)$

$= 14 - 3 m - 4 n$