Solve for f.
f = -2 + 4/5 f – 3
f = __
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To solve for ( f ) in the equation ( f = -2 + frac{4}{5}f – 3 ), follow these steps:
1. Combine like terms on the right side:
[
f = -2 – 3 + frac{4}{5}f
]
[
f = -5 + frac{4}{5}f
]
2. Move ( frac{4}{5}f ) to the left side by subtracting it from both sides:
[
f – frac{4}{5}f = -5
]
3. This simplifies to:
[
frac{1}{5}f = -5
]
4. To isolate ( f ), multiply both sides by 5:
[
f = -25
]
So the solution is:
[
f = -25
]
If you have more questions or need additional explanations, feel free to ask!