Range hood installation- stud in the way

We're working on getting a range hood installed where there is no existing ducting. This will go through a plaster wall (ca. 1938) and brick veneer exterior wall. The problem is a stud that positions at the rightmost 2.5" of the opening for horizontal duct (3-1/4" x 10") placement. Although the manufacturer says there's 1" of play for off-center positioning, 2.5" is 1.5" too much. Going up through the cabinet is seriously undesirable.
The tech support said that the stud can be cut if a support frame is built and installed. My question is: how does one do that? What kind of wood? What kind of fasteners (nails? bolts?) How many layers of wood, vertically and horizontally (i.e., is two sistered better than one?)? Should the frame be secured somehow to another stud for stability?
Is there a website that gives the detailed information I need? Thanks so much!
Sue(tm) Lead me not into temptation... I can find it myself!
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look into how they size headers for windows in walls. it's different if the wall is loadbearing or not.
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