Answer
$d=-8$ or $d=0$
Work Step by Step
$2|d+4|=8\longrightarrow$ divide each side by 2
$2|d+4|\div2=8\div2\longrightarrow$ divide
$|d+4|=4\longrightarrow$ definition of absolute value
$d+4=-4$ or $d+4=4\longrightarrow$ subtract 4 from each part
$d+4-4=-4-4$ or $d+4-4=4-4\longrightarrow$ subtract
$d=-8$ or $d=0$