1. **State the problem:** Calculate the value of $\frac{19+2}{9-2} + 14$. 2. **Apply the order of operations:** First, solve the expressions inside the parentheses. 3. Calculate the numerator: $19 + 2 = 21$. 4. Calculate the denominator: $9 - 2 = 7$. 5. Write the division as a fraction: $\frac{21}{7}$. 6. Simplify the fraction by canceling common factors: $$\frac{\cancel{21}}{\cancel{7}} = 3$$ 7. Add 14 to the simplified fraction: $$3 + 14 = 17$$ 8. **Final answer:** The value of the expression is $17$.