m=8 2
+
3
4m
=
3
34
2 Join the denominators.
2
+
4
m
3
=
3
4
3
3
2+4m
=
3
34
3 Factor out the common term
2
2.
2
(
1
+
2
m
)
3
=
3
4
3
3
2(1+2m)
=
3
34
4 Multiply both sides by
3
3.
2
(
1
+
2
m
)
=
3
4
3
×
3
2(1+2m)=
3
34
×3
5 Simplify
3
4
3
×
3
3
34
×3 to
1
0
2
3
3
102
.
2
(
1
+
2
m
)
=
1
0
2
3
2(1+2m)=
3
102
6 Simplify
1
0
2
3
3
102
to
3
4
34.
2
(
1
+
2
m
)
=
3
4
2(1+2m)=34
7 Divide both sides by
2
2.
1
+
2
m
=
3
4
2
1+2m=
2
34
8 Simplify
3
4
2
2
34
to
1
7
17.
1
+
2
m
=
1
7
1+2m=17
9 Subtract
1
1 from both sides.
2
m
=
1
7
−
1
2m=17−1
10 Simplify
1
7
−
1
17−1 to
1
6
16.
2
m
=
1
6
2m=16
11 Divide both sides by
2
2.
m
=
1
6
2
m=
2
16
12 Simplify
1
6
2
2
16
to
8
8.
M=8
