algebra

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2/w+ 4/w-1 = 10/w(w-1)

2(w-1)/w(w-1) + 4w/w(w-1)=10/w(w-1)
2w-2/w(w-1 +/4w/w(w-1= 10(w-1)/w(w-1)
2w-2+4w=10w-10
2w+4w-10w=-10-2
6w-10w=-10-2
-4w=8
w=2

• algebra -

w=2 satisfies the original equation, so I guess your solution is correct.

However, the steps should be

2(w-1)/2(w-1) + 4w/w(w-1) = 10/w(w-1)
2w-2 + 4w = 10
6w = 12
w = 2

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