Question

1. $-10\vert -2 + p\vert = 30$

Explanation:

Step1: Isolate absolute value term

Divide both sides by -10.
$\frac{-10|-2+p|}{-10} = \frac{30}{-10}$
$|-2+p| = -3$

Step2: Analyze absolute value property

Absolute value cannot be negative.
No real number $p$ makes $|-2+p|=-3$ true.

Answer:

No real solution