Answer: The required value of e is 10.
Step-by-step explanation: We are given to solve the following equation for the variable e :
![9e+4=-5e+14+13e~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://tex.z-dn.net/?f=9e%2B4%3D-5e%2B14%2B13e~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29)
To solve the given equation for e, we must take all the terms involving e on one side and the constant terms on the other side of the equation.
The solution of equation (i) is as follows :
![9e+4=-5e+14+13e\\\\\Rghtarrow 9e+4=8e+14\\\\\Rightarrow 9e-8e=14-4\\\\\Rightarrow e=10.](https://tex.z-dn.net/?f=9e%2B4%3D-5e%2B14%2B13e%5C%5C%5C%5C%5CRghtarrow%209e%2B4%3D8e%2B14%5C%5C%5C%5C%5CRightarrow%209e-8e%3D14-4%5C%5C%5C%5C%5CRightarrow%20e%3D10.)
Thus, the required value of e is 10.