Respuesta :

[tex]\tt Step-by-step~explanation:[/tex]

To solve for d, we have to move all the terms that do not equal to d to one side of the equation and leave d on the other side.

[tex]\tt Step~1:[/tex]

First, subtract n from both sides.

[tex]\tt 9d+n-n=57-n\\9d=57-n[/tex]

[tex]\tt Step~2:[/tex]

Divide all terms by 9 to get the variable d by itself.

[tex]\tt \frac{9d}{9} =d\\\\\frac{-n}{9} =-\frac{n}{9}\\\\\frac{57}{9}=6\frac{1}{3} ~or~\frac{19}{3} \\\\d=-\frac{n}{9} +\frac{19}{3}[/tex]

[tex]\Large\boxed{\tt Our~final~answer:~d=-\frac{n}{9} +\frac{19}{3} }[/tex]

[tex] \LARGE{ \underline{ \pink{ \bf{Required \: answer:}}}}[/tex]

Since there are two variables in the equation and no other simultaneous equation is not given, We need to express d in terms of other elements in the equation.

GiveN:

  • 9d + n = 57

So, Let's find d from the above equation. Subtracting n from both sides of the equation.

⇛ 9d = 57 - n

Now dividing the equation by 9,

⇛ 9d / 9 = 57 - n / 9

⇛ d = 57 - n / 9

Thus, the required answer for d is:

[tex] \boxed{ \rm{d = \frac{57 - n}{9} }}[/tex]

And we are done ......

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