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Valentin [98]
4 years ago
13

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

Mathematics
1 answer:
Gnesinka [82]4 years ago
7 0

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

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