# Given: q = 7m + 3n, r = 11 - 2m, s = n + 5, and t = -m - 3n + 8. simplify [q - r] + [s - t]. a 10m + 5n - 24 b 10m - 5n + 24 c 10m + 7n - 14 d 10m - 7n - 14

Breaking each piece down
Q-R
(7m+3n) - (11- 2m)
7m + 3n -11- 2m
5m +3n - 11

S-T
(n+5)- (-m-3n)
n+5-m-3n
-2n +5 - m
(5m +3n -11) + (-2n +5 -m )
= 4m + n -6

[Q-R]+[S-T]

[Q-R]

7m+3n-(11-2m)

7m+3n-11+2m

9m+3n-11

[S-T]

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

n+5+m+3n-8

4n+m-3

[Q-R]+[S-T]

9m+3n-11+4n+m-3

10m+7n-14

Step-by-step explanation:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

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

Solve the terms in the bracket first

That's

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

( 9m + 3n - 11 ) + ( m + 4n - 3)

Remove the brackets

That's

9m + 3n - 11 + m + 4n - 3

Group like terms

9m + m + 3n + 4n - 11 - 3

10m + 7n - 14

Hope this helps you

Step-by-step explanation:

Given : ,

,

, and

Now  ,

[ ∵ (-)(+)=(-) and (-)(-)=(+)]

[Note : when -1 is outside the parenthesis it indicates that -1 should be multiplied with each of the terms present inside the parenthesis .]

[Combine like terms.]

[ ∵ (-)(+)=(-) and (-)(-)=(+)]

[Combine like terms.]

Now,

[combine like terms]

Hence,

10m - 7n - 14

Step-by-step explanation:

Given Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8

[Q - R] + [S - T].

= (7m + 3n - 11 + 2m) + (n + 5 + m + 3n - 8)

collect all the like terms

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

= 10m + 7n - 14

The third option  10m - 7n - 14 is right

10m + 7n - 14

Steps:
[7m + 3n -(11 - 2m)] + [n + 5 -(-m -3n + 8)]
7m + 3n -11 + 2m + n + 5 + m + 3n - 8
10m + 7n - 14
(Q-R)+(S-T)
(7m+3n-11-2m)+(n+5- -m-3n+8)
5m+3n-11+-2n+-3+-m
4m+n+-14
(7m+3n-11-2m)+(n+)-3n+8)
5m+3n-11+)-2n+8
6m+n+2

that's what i got, and i'm in high school. i'm sorry try asking your teacher in the morning.

-synder

The answer is 10m+7n-14 because you need to subtract

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