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In my opinion what you should really consider is that what page (either home or internal page is working well for you in terms of conversions... If home page is offering you more conversions then probably you should go for it! And direct your SEO strategy to get results from home page but if the inner page is offering your better conversions then you should prefer redirecting the angle of your SEO strategy towards inner pages... I think there is no need to delete any internal page for this! But all you need to do is to build some great links so that your rankings can get stable positions against your key phrases.