Solve for f. 2 – 1/4f = f – 3/4f + 3 f = ____

To solve for ( f ) in the equation:

[

2 – frac{1}{4}f = f – frac{3}{4}f + 3

]

First, simplify the right side:

[

f – frac{3}{4}f = frac{1}{4}f

]

Now the equation becomes:

[

2 – frac{1}{4}f = frac{1}{4}f + 3

]

Next, let’s combine like terms. Add (frac{1}{4}f) to both sides:

[

2 = frac{1}{4}f + frac{1}{4}f + 3

]

This simplifies to:

[

2 = frac{2}{4}f + 3

]

Which is:

[

2 = frac{1}{2}f + 3

]

Now, subtract 3 from both sides:

[

2 – 3 = frac{1}{2}f

]

This gives:

[

-1 = frac{1}{2}f

]

Now, multiply both sides by 2 to isolate ( f ):

[

f = -2

]

So the solution is:

[

f = -2

]

Feel free to ask if you need further clarification!