(5) \( |8 p+11|-7=-3 \)

To solve the equation \( |8 p + 11| - 7 = -3 \), first, we add 7 to both sides to isolate the absolute value: \( |8 p + 11| = 4 \). Now we can split this into two cases: 1. \( 8p + 11 = 4 \) 2. \( 8p + 11 = -4 \) For the first case: \( 8p = 4 - 11 \) \( 8p = -7 \) \( p = -\frac{7}{8} \). For the second case: \( 8p = -4 - 11 \) \( 8p = -15 \) \( p = -\frac{15}{8} \). So the solutions are \( p = -\frac{7}{8} \) and \( p = -\frac{15}{8} \). To verify, plug these values back into the original equation and check if both sides are equal!