#### Answer

no solution

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the definition of absolute value to analyze the solution to the given equation, $
|k+10|=-3
.$
$\bf{\text{Solution Details:}}$
The absolute value of $x,$ given as $|x|,$ is the distance of $x$ from $0.$ Hence, it is a nonnegative number. In the same way, the left side of the given expression is always a nonnegative number. This will never be equal to the negative number at the right side. Hence, there is $\text{
no solution
.}$