To divide the expression \(3(12f + 8)\) by the common factor of 3, we can first rewrite the equation:
\[ \frac{3(12f + 8)}{6} = -4f + 8 \]
Now, we can simplify the left side. Dividing both the numerator and the denominator by 3:
\[ \frac{3(12f + 8)}{6} = \frac{(12f + 8)}{2} \]
Thus, the equation becomes:
\[ \frac{12f + 8}{2} = -4f + 8 \]
Now, simplifying the left side further:
\[ 6f + 4 = -4f + 8 \]
So, rewriting the equation by dividing the original expression and simplifying yields:
\[ 6f + 4 = -4f + 8 \]