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.