g)
$|x|=|-5|\\⇔|x|=5\\⇔x=\pm5$
h)
$|x+7|=|-5|\\⇔|x+7|=5\\⇔\left[\begin{array}{}x+7=5\\x+7=-5\end{array}\right.\\⇔\left[\begin{array}{}x=-2\\x=-12\end{array}\right.$
i)
$|x+7|+13=23\\⇔|x+7|=10\\⇔\left[\begin{array}{}x+7=10\\x+7=-10\end{array}\right.\\⇔\left[\begin{array}{}x=3\\x=-17\end{array}\right.$
k)
$26-|x+9|=-13\\⇔|x+9|=39\\⇔\left[\begin{array}{}x+9=39\\x+9=-39\end{array}\right.\\⇔\left[\begin{array}{}x=30\\x=-48\end{array}\right.$
m)
$x^2=16\\⇔x^2=4^2\\⇔x=\pm4$
n)
$2x^2=32\\⇔x^2=16\\⇔x^2=4^2\\⇔x=\pm4$
