Answer
$= -75$
Work Step by Step
Follow the acronym PEDMAS:
P: arenthesis
E: ponents
D:ivision
M:ultiplication
A:ddition
S:ubtraction
This is used to determine order of operations, starting with parenthesis and ending with subtraction. For example, you would complete the division of two numbers before the addition of another two numbers. In this case, we complete the exponents first, then multiply, and finally add and subtract:
$-2(3)^{3} - 3(3)^{2} + 4(3) - 6$
$= -2(27) - 3(9) + 4(3) - 6$
$= -54 - 27 + 12 - 6$
$= -81 + 6$
$= -75$