Answer:
Simplify
[tex]Q-[R+S]-T[/tex]
The answer is:
[tex]10m+5n-24[/tex]
Step-by-step explanation:
We have the expressions:
[tex]Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8[/tex]
Now, we need simplify:
[tex]Q-[R+S]-T[/tex]
We need to replace each term by the expressions:
[tex]7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)[/tex]
We need to remember the rule of signs:
[tex]-/-=+[/tex]
[tex]-/+=-[/tex]
[tex]+/+=+[/tex]
With this in mind we solve the parentheses:
[tex]7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)[/tex]
[tex]7m+3n-[11-2m+n+5]+m+3n-8[/tex]
[tex]7m+3n-11+2m-n-5+m+3n-8[/tex]
let's group common terms
[tex]7m+3n-11+2m-n-5+m+3n-8\\7m+2m+m+3n-n+3n-11-5-8[/tex]
We must add and subtract common terms:
[tex]7m+2m+m+3n-n+3n-11-5-8\\10m+5n-24[/tex]
The answer is:
[tex]10m+5n-24[/tex]
