Let's solve the expression \( 16 + 3|4x - 9| \) for \( x = -2 \).

1. **Substitute** \( x = -2 \) into the expression:
   \[
   16 + 3|4(-2) - 9|
   \]

2. **Simplify inside the absolute value**:
   \[
   16 + 3| -8 - 9| = 16 + 3| -17|
   \]

3. **Absolute value of -17 is 17**:
   \[
   16 + 3(17) = 16 + 51
   \]

4. **Add the terms**:
   \[
   16 + 51 = 67
   \]

Thus, the value of the expression is \( \boxed{67} \).

Would you like more details or have any questions?

Here are some related questions you might find helpful:
1. How do you handle absolute values in equations?
2. What are common mistakes when solving expressions like this?
3. How do absolute value properties work in more complex expressions?
4. Can you show an example of solving inequalities involving absolute values?
5. How does the order of operations affect solving these kinds of expressions?

**Tip:** Always solve what's inside the absolute value first before applying any outside operations like multiplication or addition!

Learn how to solve the expression 16 + 3|4x - 9| by substituting x = -2. This detailed solution demonstrates key algebraic concepts such as absolute value, substitution, and the order of operations. Ideal for students in Grades 7-9.

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