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I hope this helps you

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The equation given in the question is
7/(a + 8) + 7/(a^2 - 64 = 7/(a + 8) + 7/(a + 8)(a - 8)
                                    = [7(a - 8)] + 7/[(a + 8)(a - 8)]
                                    = [7a - 56 + 7]/(a + 8)(a - 8)
                                    = (7a - 49)/(a + 8)(a - 8)
                                    = 7(a - 7)/(a + 8)(a - 8)

I hope the procedure of simplification is absolutely clear to you and this is the answer that you were looking for and the answer has actually come to your desired help.

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