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Question

22f − 10
=
−10f − 8
+
10f
+
10f

32f − 10
=
−8
+
10
+
10

32f
=
2
? = ?


f = ?

Answer 1

Let's solve the equation step by step.

1. Start with the original equation: \[ 22f - 10 = -10f - 8 + 10f + 10f \]

2. Simplify the right side: \[ -10f + 10f + 10f = 10f \] So, the equation becomes: \[ 22f - 10 = 10f - 8 \]

3. Now, isolate \( f \) by moving all terms involving \( f \) to one side and constant terms to the other side: \[ 22f - 10f = -8 + 10 \] Simplifying gives: \[ 12f = 2 \]

4. Finally, divide both sides by 12 to solve for \( f \): \[ f = \frac{2}{12} = \frac{1}{6} \]

So, the value of \( f \) is: \[ f = \frac{1}{6} \]