<PRE><B>Question 387405</B>
 Solve for w. 
4 + 5/(w - 7) = 7/[(w + 1)(w - 7)]
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Multiply thru by (w+1)(w-7) to get:
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4(w+1)(w-7) + 5(w+1) = 7
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4[w^2-6w-7] + 5w+5 = 7
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4w^2-24w-28+5w+5 = 7
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4w^2-19w-30 = 0
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(w-6)(4w+5) = 0
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w = 6 or w = -5/4
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Cheers,
Stan H. 
</PRE>