Answer: The required solution for [tex]d_1[/tex] is [tex]d_1=2m-d_2.[/tex]
Step-by-step explanation: We are given to solve the following equation for [tex]d_1:[/tex]
[tex]m=\dfrac{1}{2}(d_1+d_2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given equation for [tex]d_1,[/tex] we must take all the other terms on the right side of the equation.
From equation (i), we get
[tex]m=\dfrac{1}{2}(d_1+d_2)\\\\\\\Rightarrow 2m=d_1+d_2\\\\\Rightarrow d_1=2m-d_2.[/tex]
Thus, the required solution for [tex]d_1[/tex] is [tex]d_1=2m-d_2.[/tex]