The equation \( |3x + 4| = -3 \) has no solution.

This is because the absolute value of any expression is always non-negative (i.e., \( |A| \geq 0 \) for any real number \( A \)). Since the right-hand side of the equation is a negative number (-3), there is no value of \( x \) that would make the absolute value equal to -3.

Therefore, the equation is inconsistent, and no real solutions exist.

Would you like more details on absolute value equations or have any other questions?

Here are five related questions:
1. How do you solve absolute value equations when the right side is positive?
2. What are the key properties of absolute values?
3. Can an absolute value equation have more than one solution?
4. How do you solve inequalities involving absolute values?
5. What are the practical applications of absolute value equations?

**Tip:** Always remember that absolute values represent distance and can never be negative.

Understand why the equation |3x + 4| = -3 has no solution by exploring the properties of absolute values. This problem explains that absolute values are always non-negative and cannot equal a negative number. Suitable for students in Grades 8-10.

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