Hello..!
![\: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}](https://img.qammunity.org/2023/formulas/mathematics/college/jja3hbucpumnzl7juzsm40spbyivd3dwcv.png)
![\blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}](https://img.qammunity.org/2023/formulas/mathematics/college/l3tixl85aqha11hoa749t3ct85ictd40uc.png)
First, to solve the problem we take into account the Law of Signs:
![\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - * + = -](https://img.qammunity.org/2023/formulas/mathematics/college/j7rwjcq1opiejsdtta8vlk2w927ki99sjh.png)
Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs
![\: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}](https://img.qammunity.org/2023/formulas/mathematics/college/az5jfthmvm28pn089kj9qjgbsrdhc8ebpf.png)
Then we must subtract knowing that when there is a minus and a plus it is automatically minus
![\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}](https://img.qammunity.org/2023/formulas/mathematics/college/warv74ytzucs6lc83itraqjggo6gii8fds.png)
Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8
![\: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}](https://img.qammunity.org/2023/formulas/mathematics/college/zh9kabepp02w5opkst45zahn3a1o9wgrb0.png)
¿Doubts? in the comments