f) \( \frac{1}{3}(2 x-6)=-8 \)

To solve the equation, first, we'll eliminate the fraction by multiplying both sides by 3. This gives us \( 2x - 6 = -24 \). Next, add 6 to both sides to isolate the term with \( x \): \( 2x = -24 + 6 \), which simplifies to \( 2x = -18 \). Finally, divide by 2 to find \( x = -9 \). Remember, it’s always good to check our work by substituting \( -9 \) back into the original equation to see if both sides are equal. Happy solving!