#### Answer

$-\dfrac{27}{4}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the order of operations (PEMDAS - Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction) to simplify the given expression, $
(6-9)(-2-7)\div(-4)
.$
$\bf{\text{Solution Details:}}$
Simplifying the expression/s in parenthesis, the entire expression above becomes
\begin{array}{l}\require{cancel}
(-3)(-9)\div(-4)
.\end{array}
Simplifying the product/quotient, the expression above becomes
\begin{array}{l}\require{cancel}
27\div(-4)
\\\\=
-\dfrac{27}{4}
.\end{array}