To make c the subject of g = (c + 3) / (4 + c) - 7, we'll follow these steps:
1. Multiply both sides by (4 + c) to remove the denominator.
2. Add 7 to both sides.
3. Then, rearrange to isolate c.
Let's do it:
g = (c + 3) / (4 + c)
1. Multiply both sides by (4 + c):
g(4 + c) = c + 3 - 7(4 + c)
2. Expand:
4g + cg = c + 3 - 28 - 7c
3. Rearrange terms with c on one side:
cg + 7c = c - 25 - 4g
4. Factor out c:
c(g + 7) = c - 25 - 4g
5. Finally, isolate c:
c = (c - 25 - 4g) / (g + 7)
So, c = (c - 25 - 4g) / (g + 7) is the expression with c as the subject.
