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Sagot :
To solve the algebraic expression, add or subtract the variables with same power of variable.
The result of the given problem after simplifying is,
[tex]y=7m+n-6[/tex]
How to write algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
To solve the algebraic expression, add or subtract the variables with same power of variable.
Given information-
The given numbers are,
[tex]Q=7m+3n\\R=11-2m\\S=n+5\\T=-3-3n[/tex]
All the four number given in the form of unknown number [tex]m[/tex] and [tex]n[/tex].
The result, need to be find is,
[tex]R-S+T+M[/tex]
Let the result of above expression is [tex]y[/tex]. Thus,
[tex]y=R-S+T+M[/tex]
Put the values to solve it further,
[tex]y=(7m+3n)-(11-2m)+(n+5)+(-m-3n)[/tex]
Solve it further by open the bracket as,
[tex]y=7m+3n-11+2m+n+5-m-3n\\y=7m+2m-m+3n+n-3n-11+5\\y=7m+n-6[/tex]
Hence the result of the given problem after simplifying is,
[tex]y=7m+n-6[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
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