Solve the rational equation:
−
9
t
t
2
−
9
+
9
t
+
3
=
1
t
−
3
\displaystyle \frac{{-{9}{t}}}{{{t}^{{2}}-{9}}}+\frac{{9}}{{{t}+{3}}}=\frac{{1}}{{{t}-{3}}}
t
2
−
9
−
9
t
+
t
+
3
9
=
t
−
3
1
x
=
\displaystyle {x}=
x
=
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