Answer: The required value of d is 4.2.
Step-by-step explanation: We are given to find the value of d from the following equation :
[tex]-5.5(d-2)=-12.1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of d, we are to solve the given equation (i).
The solution of equation (i) is as follows :
[tex]-5.5(d-2)=-12.1\\\\\Rightarrow -5.5d+11=-12.1\\\\\Rightarrow -5.5d=-12.1-11\\\\\Rightarrow -5.5d=-23.1\\\\\Rightarrow d=\dfrac{-23.1}{-5.5}\\\\\Rightarrow d=4.2.[/tex]
Thus, the required value of d is 4.2.