Answer:
The value of m is 44.
Explanation:
Given : Expression one-half m minus three-fourths n equals 16.
To find : The value of m, when n equals 8?
Solution :
Write the expression in number form,
'one-half m minus three-fourths n equals 16'
i.e.
![(1)/(2)m-(3)/(4) n=16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mxa9jxcqat52o6qf91tq68b3oqstjq645g.png)
Substitute n=8,
![(1)/(2)m-(3)/(4)* 8=16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b3uxspbgewms3pr3kx6o97gabf0h9au1dy.png)
![(1)/(2)m-3* 2=16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5ol7cyxzpbauyyll5bb96z1dpn58bok40j.png)
![(1)/(2)m-6=16](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qscbpqc3z8gi6eda57mgudkynbwnu6jwtf.png)
![(1)/(2)m=16+6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i8zp1rpwur7kulkb2xt8kmlwt0qd1xo9gz.png)
![(1)/(2)m=22](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6e9kyvfves3656x00pl7oy21ih7rtl5jwe.png)
![m=22* 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ny8rf65d5roi4znnjmlbgh6q6d28qi1a1u.png)
![m=44](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gl4e3idoylgqv6px2jmqm2xx7zlhm0nkeg.png)
Therefore, The value of m is 44.