#### Answer

$h=6$

#### Work Step by Step

Multiplying both sides by the $LCD=
6
,$ the value of the variable that satisfies the given equation, $
\dfrac{h}{2}-\dfrac{h}{3}=1
,$ is
\begin{array}{l}\require{cancel}
3(h)-2(h)=6(1)
\\\\
3h-2h=6
\\\\
h=6
.\end{array}