Solve 4w − 7k = 28 for k. Show your work
Well, ummm, can you show your work?
To solve the equation 4w - 7k = 28 for k, we need to isolate the variable k on one side of the equation. Here's the step-by-step process:
1. Start with the equation: 4w - 7k = 28.
2. Begin by moving the term with the variable k to the other side of the equation. We do this by subtracting 4w from both sides.
4w - 7k - 4w = 28 - 4w.
Simplifying: -7k = 28 - 4w.
3. Next, to isolate k, divide both sides of the equation by -7 (the coefficient of k).
(-7k)/-7 = (28 - 4w)/-7.
Simplifying: k = (4w - 28)/7.
4. The equation is now solved for k. By rearranging the terms, we can write the final answer as:
k = 4w/7 - 28/7.
Simplifying further, we get:
k = (4/7)w - 4.