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So you have to make the case that you, as a consumer, will save money *in the long run* and this is complicated by a ton of unknowns. How much will it cost to heat the house? You don't know, because you don't know:
- how insulated the house is
- how effective each heat pump will be in warming
- what energy prices are
- how much solar energy you generate

When someone asks, "how long will it take to make a difference?" it is really hard to answer that question!