Question

solve for f. give an exact answer. 9f = (1/2)(12f - 2) f = \boxed{}

Explanation:

Step1: Distribute the fraction

Multiply \(\frac{1}{2}\) with each term inside the parentheses: \(9f=\frac{1}{2}\times12f-\frac{1}{2}\times2\) which simplifies to \(9f = 6f - 1\).

Step2: Subtract \(6f\) from both sides

Subtract \(6f\) to get the variable terms on one side: \(9f - 6f=6f - 1 - 6f\), resulting in \(3f=-1\).

Step3: Solve for \(f\)

Divide both sides by 3: \(\frac{3f}{3}=\frac{-1}{3}\), so \(f = -\frac{1}{3}\).

Answer:

\(-\frac{1}{3}\)