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\( f = -5 \)
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To solve the equation \( 6 = 2(13 + 2f) \), first distribute the 2 on the right side: \[ 6 = 2 \cdot 13 + 2 \cdot 2f \] This simplifies to: \[ 6 = 26 + 4f \] Next, isolate the term with \( f \) by subtracting 26 from both sides: \[ 6 - 26 = 4f \] So, \[ -20 = 4f \] Now, divide both sides by 4 to solve for \( f \): \[ f = \frac{-20}{4} = -5 \] Thus, the solution is \( f = -5 \).
