Question

Given: Q=7m+3n,R=11-2m,s=n+5,and T =-m-3n+8 simplify Q-[R+S]-T

Answer 1

Answer:

Simplify

$Q-[R+S]-T$

The answer is:

$10m+5n-24$

Step-by-step explanation:

We have the expressions:

$Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8$

Now, we need simplify:

$Q-[R+S]-T$

We need to replace each term by the expressions:

$7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)$

We need to remember the rule of signs:

$-/-=+$

$-/+=-$

$+/+=+$

With this in mind we solve the parentheses:

$7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)$

$7m+3n-[11-2m+n+5]+m+3n-8$

$7m+3n-11+2m-n-5+m+3n-8$

let's group common terms

$7m+3n-11+2m-n-5+m+3n-8\\7m+2m+m+3n-n+3n-11-5-8$

We must add and subtract common terms:

$7m+2m+m+3n-n+3n-11-5-8\\10m+5n-24$

The answer is:

$10m+5n-24$