Respuesta :

We are given the following expression

[tex]-13+2m=6+5m+8[/tex]

We are asked to simplify the expression.

Step 1:

Combine the like terms together (meaning that constant terms on one side and variable terms on the other side)

[tex]-13-6-8=5m-2m[/tex]

(Please note that whenever we shift a term from one side to another then the sign of the term is reversed)

Step 2:

add or subtract the like terms

[tex]-27=3m[/tex]

Step 3:

Finally, find the value of the variable.

[tex]\begin{gathered} 3m=-27 \\ m=-\frac{27}{3} \\ m=-9 \end{gathered}[/tex]

Therefore, m = -9 is the simplified form of the given expression.