To solve the equation 8k + 2m = 3m + k for k, we will rearrange the equation to isolate k.
First, let’s get all the terms involving k on one side of the equation and the constant terms on the other side. We can do this by subtracting k from both sides:
- 8k – k + 2m = 3m
This simplifies to:
- 7k + 2m = 3m
Next, we want to isolate 7k. We can do this by subtracting 2m from both sides of the equation:
- 7k = 3m – 2m
This simplifies to:
- 7k = m
Now, to solve for k, we need to divide both sides by 7:
- k = m / 7
Therefore, the solution for k in terms of m is:
- k = m / 7