SUM columns based on a dynamic value

Hello, I'm trying to build a formula that will SUM a dynamic range of columns based on a value. The application is for capacity planning (hours per week) and the sheet has a column for every week of the year (see image). I want to SUM the remaining hours as each week passes. I know the week number where I want the range to start the SUM from, but can't figure out the formula. Any advice is greatly appreciated.

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