Solve in terms of r if s=r/a-1

To solve the equation s = r/a - 1 for r in terms of the other variables, we need to isolate r on one side of the equation.

Step 1: Multiply both sides of the equation by (a - 1) to remove the fraction:

s(a - 1) = (r/a - 1)(a - 1)

Step 2: Simplify the equation:

s(a - 1) = r - (a - 1)

Step 3: Distribute on the right side of the equation:

s(a - 1) = r - a + 1

Step 4: Rearrange the equation to isolate r:

r = s(a - 1) + a - 1

Thus, the equation is solved for r in terms of s and a.