Finished and completed post…
So you want to move it in object space?
You can just multiply
Part.CFrame = Part.CFrame * CFrame.new(0,0,4) -- Moves 4 Studs on Z axis
Yes, This will work, Multiplying will move it relative to its rotation.
Like I showed on the example…
Change it to any axis.
You’re not multiplying the cframes in your example, I think you have a typo
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I fixed it…
Part.CFrame = Part.CFrame * CFrame.new(0,0,4) -- Moves 4 Studs on Z axis
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It will move the part relative to the part’s axes not the world space I believe