How to hang a 2×4 that spans 3 studs to concave wall


I’m trying to install some 2×4 across 3 studs and then screw on some whole house water filter (300 pounds) to the 2x4s. But the 2×4 aren’t flush against the wall and the wall concaves away from the 2×4 (gap is about 1/4 inch in the middle).Will this be an issue with structural integrity? should I add joint compound mud to take up the space? or some type of rubber washer? Should I do anything else?​ via /r/DIY

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