I’ve attached a photo
Solve for n:
3/4f-5/2n=2
n=

Answer:
[tex]n=\frac{3f-8}{10}[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\frac{3}{4}f-\frac{5}{2}n=2[/tex]
First, remove all the fractions by multiplying by the LCM of the denominator.
The LCM of 4 and 2 is 4. Thus:
[tex]4(\frac{3}{4}f-\frac{5}{2}n)=4(2)[/tex]
Distribute:
[tex]4(\frac{3}{4}f})-4(\frac{5}{2}n})=4(2)[/tex]
Simplify:
[tex]3f-10n=8[/tex]
Subtract 3f from both sides:
[tex](3f-10n)-3f=(8)-3f\\-10n=8-3f[/tex]
Divide both sides by -10:
[tex]n=\frac{8-3f}{-10}[/tex]
Divide by -1:
[tex]n=\frac{3f-8}{10}[/tex]
And this is our answer :)
n = (3f - 8)/10
3f/4 - ²⁾5n/2 = ⁴⁾2
3f - 10n = 8
3f - 8 = 10n
n = (3f - 8)/10