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I'm facing this problem and I can't get a solution, I want to explicit variable m from the following equation, I tried with binomial theorem to break up binomial coefficient but it was useless...

can someone help me please?

[tex]\sum_{i=n}^{n+m}\binom{n+m} {i}p^i(1-p)^{n+m-i} = k[/tex]

all variables are known except m, and k is a known constant.

virtually I'd like something in the form:

[tex]m = g(n,p,k)[/tex]

thanks!!