Answer: The required solution is k = 4.
Step-by-step explanation: We are given to solve the following linear equation :
![3k+45=8k+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q8eac1vcnqo0obn5c4bgu4e1v8iqquk9uq.png)
Solving the above linear equation is equivalent to find the value of the unknown variable k.
The solution of equation (i) is as follows :
![3k+45=8k+25\\\\\Rightarrow 8k-3k=45-25\\\\\Rightarrow 5k=20\\\\\Rightarrow k=(20)/(5)\\\\\Rightarrow k=4.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mjwca2b2gorunxy7u5zqe0zf2aqcb4h2ki.png)
Thus, the required solution is k = 4.