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How to calculate this Weighted Average in Google Sheets

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I am having troubling figuring out how to reproduce the values highlighted here representing weighted averages up until the years 2019 & 2020. Those values are just a weighted average, where the past five years are worth three times as much and years 6 through 10 are weighted twice as much. The column years range from 1997, it is cutoff in the screenshot

Any help would be truly appreciated!

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