1. **State the problem:** Solve the equation $8k - 19 = 3 + 16$ for $k$. 2. **Simplify the right side:** $$8k - 19 = 19$$ 3. **Isolate the term with $k$ by adding 19 to both sides:** $$8k - 19 + 19 = 19 + 19$$ $$8k = 38$$ 4. **Solve for $k$ by dividing both sides by 8:** $$k = \frac{38}{8}$$ 5. **Simplify the fraction by dividing numerator and denominator by 2:** $$k = \frac{\cancel{38}{}^{\div 2}}{\cancel{8}{}^{\div 2}} = \frac{19}{4}$$ **Final answer:** $$k = \frac{19}{4}$$