#### Answer

$23$

#### Work Step by Step

Using order of operations, the given expression, $
7-\dfrac{3}{4}(-8)+12\cdot\dfrac{5}{6}
,$ simplifies to
\begin{array}{l}\require{cancel}
7-\dfrac{3}{\cancel{4}}(-\cancel{8}^2)+\cancel{12}^2\cdot\dfrac{5}{\cancel{6}}
\\\\=
7-(-6)+10
\\\\=
7+6+10
\\\\=
13+10
\\\\=
23
.\end{array}