1. The problem asks to evaluate the expression $|m - 4|$ given that $m = -\frac{4}{3}$. 2. The absolute value function $|x|$ returns the non-negative value of $x$, meaning it removes any negative sign. 3. Substitute $m = -\frac{4}{3}$ into the expression: $$|m - 4| = \left| -\frac{4}{3} - 4 \right|$$ 4. Convert 4 to a fraction with denominator 3 to combine terms: $$4 = \frac{12}{3}$$ 5. Now calculate inside the absolute value: $$\left| -\frac{4}{3} - \frac{12}{3} \right| = \left| \frac{-4 - 12}{3} \right| = \left| \frac{-16}{3} \right|$$ 6. The absolute value of a negative fraction is the positive fraction: $$\left| \frac{-16}{3} \right| = \frac{16}{3}$$ 7. Therefore, the value of $|m - 4|$ when $m = -\frac{4}{3}$ is $\frac{16}{3}$.