It means the subject has not yet decided, but he is feeling more like not going to the concert. It is a little more common to use opposite of lean against, or lean toward, as in "... he did not feel well so he was leaning toward staying home." If you look up lean toward, you can find lots of synonyms.
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to lean against
Hi guys what is the real mean of synonym "to lean against"?
for example: He did not know if he would go to the concert, but he did not feel well so
he was leaning against going.