What is [tex] f [/tex] in the equation [tex] \frac{3}{5}f + 24 = 4 - \frac{1}{5}f [/tex]?

Please show steps.

5 3 ​ f + 24 = 4 − 5 1 ​ f ∣ M u lt i pl y b y 5 3 f + 120 = 20 − f ∣ A dd f 4 f + 120 = 20 ∣ S u b t r a c t 120 4 f = − 100 ∣ D i v i d e b y 4 f = − 25 S o l u t i o n i s f = − 25.

Answered by luana | 2024-06-10

**-26.25 ** is f in the **equation **3/5f + 24 = 4 - 1/5f.
**3/5f + 24 = 4 - 1/5f **
**Step - 1 **Multiple by 5 on both side,
3f + 25 * 5 = 4 * 5 - f
3f + 125 = 20 - f
**Step - 2 **Add f on both side,
4f + 125 = 20
Step - 3 Subtract 125 on both side,
4f = 20 - 125
4f = - 105
**Step - 4 **Divide by 4 on both side,
f = - 26.25.
Therefore, the answer is -26.25.
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Answered by bhawsarsakshi4 | 2024-06-17

The value of f in the equation 5 3 ​ f + 24 = 4 − 5 1 ​ f is − 25 . This was found by eliminating fractions, combining like terms, isolating f , and then dividing. The final result is f = − 25 .
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Answered by bhawsarsakshi4 | 2024-10-02