Let's solve the next equation:
![6+(c+8)=13](https://img.qammunity.org/2023/formulas/mathematics/college/oc9m5qtj8ip8y1lchboccwpmj8doyf35ar.png)
We need to find the value for c, this value is correct when we replaced it with a number and the equality equation becomes true.
First, subtract both sides by 6
![6-6+(c+8)=13-6](https://img.qammunity.org/2023/formulas/mathematics/college/l2wyww0yre4zvgp6wvwsgdcutcdyb6vd75.png)
![c+8=7](https://img.qammunity.org/2023/formulas/mathematics/college/7kobmbp13fw25sjunv2t7fi20jcobflopw.png)
Now, subtract both sides by 8
![c+8-8=7-8](https://img.qammunity.org/2023/formulas/mathematics/college/4iz3cvamcy9aferoja328l8fnw5cgoj9xy.png)
![c=-1](https://img.qammunity.org/2023/formulas/mathematics/college/sypayimas936uyggq6dw0qj01tdtq8gxom.png)
Replacing the c value to verify:
![6+(-1+8)=13](https://img.qammunity.org/2023/formulas/mathematics/college/eiygzlebh0fgiqt5gml6a36n26cofoeyzs.png)
![6+7=13](https://img.qammunity.org/2023/formulas/mathematics/high-school/z7c5j3sdoi5lwkv4hi4urnw5toiqrojp4i.png)
The c value is correct.