Solve for n:

I=nE/nr+R

not sure how to do this

if you mean I=nE/(nr+R) then

Irn + Ir = nE
Ir = nE - Irn
Ir = n(E - IR)
n = Ir/(E - IR)

To solve for n, we need to isolate it on one side of the equation. Let's break down the equation and simplify it step by step:

I = nE / (nr + R)

First, multiply both sides of the equation by (nr + R) to eliminate the denominator:

I(nr + R) = nE

Next, distribute the I on the left side of the equation:

Inr + IR = nE

Now, let's gather all the terms with n on one side and other terms on the other side:

Inr - nE = -IR

Now, factor out n on the left side:

n(rI - E) = -IR

Finally, divide both sides of the equation by (rI - E) to solve for n:

n = -IR / (rI - E)

Thus, the solution for n in terms of the other variables is n = -IR / (rI - E).