Now let us try to simplify example (1) above.
3
2
5
4
3
4
2
5
4
0
4
4
5
5
5
0
a
a
a
a
a
a
this implies that
a
b
a
b
a
b
a
a
b
b
b
b
b
+

=

=

+
+


=
+
=

+

= 
+
=
Let us try another example this time using
xs
and
ys
instead of
as
and
bs
.
Assume we were asked to simplify the following expression:
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