Answer
$-2$
Work Step by Step
The order of operations follow the following hierarchy (PEMDAS rule):
(i) Parentheses/grouping symbols
(ii) Exponents
(iii) Multiplication/Division, whichever comes first from the left
(iv) Addition/Subtraction, whichever comes first from the left
Use the rule above to obtain:
$=\dfrac{-3\cdot25+89}{(-1)^2-2|-4|}
\\=\dfrac{-75+89}{1-2(4)}
\\=\dfrac{14}{1-8}
\\=\dfrac{14}{-7}
\\=-2$
