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\frac{-7}{x^{2}+25x+24}+0
Zero divided by any non-zero term gives zero.
\frac{-7}{\left(x+1\right)\left(x+24\right)}+0
Factor x^{2}+25x+24.
\frac{-7}{x^{2}+25x+24}
Anything plus zero gives itself.