Eventually we'll want to get [MATH]k[/MATH] by itself on one side of the equals sign, so each step along the way will involve transforming the equation in such a way that we can get [MATH]k[/MATH] isolated.
We begin by adding 1 to both sides to isolate the fraction:
[MATH]r + 1 = \frac{k + p}{k}[/MATH]
The fraction can be eliminated by multiplying both sides by [MATH]k[/MATH].
[MATH]k(r + 1) = k + p[/MATH][MATH]rk + k = k + p[/MATH]
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