We show that there are no distance one surgeries on non-null-homologous knots in
M
M
that yield
−
M
-M
(
M
M
with opposite orientation) if
M
M
is a 3-manifold obtained by a Dehn surgery on a knot
K
K
in
S
3
S^{3}
, such that the order of its first homology is divisible by
9
9
but is not divisible by
27
27
.
As an application, we show several knots, including the
(
2
,
9
)
(2,9)
torus knot, do not have chirally cosmetic bandings. This simplifies the proof of a result first proven by Yang that the
(
2
,
k
)
(2,k)
torus knot
(
k
>
1
)
(k>1)
has a chirally cosmetic banding if and only if
k
=
5
k=5
.