Final answer:
To solve the equation r/n+t=4v for r, multiply both sides by n, then subtract nt from both sides, and you get r = 4nv - nt, which simplifies to r = n(4v - t) if factoring is possible.
Step-by-step explanation:
To solve for r in the equation r/n+t=4v, we'll need to manipulate the equation so that r is by itself on one side of the equals sign. Here are the steps to do so:
- Multiply both sides of the equation by n to eliminate the fraction: r + nt = 4nv.
- Subtract nt from both sides to isolate r: r = 4nv - nt.
- Simplify by factoring out n (if possible): r = n(4v - t).
To solve for r, we first need to isolate the variable r on one side of the equation. We can start by subtracting t from both sides of the equation:
r/n = 4v - t
Next, we can multiply both sides of the equation by n to get rid of the fraction:
r = n(4v - t)
So, the solution for r is r = n(4v - t).
This gives us the solution for r in terms of n, t, and v.