Answer: The required solution is k = 4.
Step-by-step explanation: We are given to solve the following linear equation :
[tex]3k+45=8k+25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Solving the above linear equation is equivalent to find the value of the unknown variable k.
The solution of equation (i) is as follows :
[tex]3k+45=8k+25\\\\\Rightarrow 8k-3k=45-25\\\\\Rightarrow 5k=20\\\\\Rightarrow k=\dfrac{20}{5}\\\\\Rightarrow k=4.[/tex]
Thus, the required solution is k = 4.
