No. Motive is wether or not you had something to gain. Intent is
if you did something for sure but what was the reason behind
it.
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A by-motive is a hidden motive.
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An ulterior motive is a motive that they have beyond the main
motive. They often do not show that they have this motive and it is
often not good. The ulterior motive is almost always has it for
their own good only.