Question 235474
<font face="Garamond" size="+2">


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -6[-27\ -\ (-82\ -\ 15)]]


Start with the inner parentheses:  *[tex \LARGE -82\ -\ 15\ = -82\ +\ (-15)]


Meaning, start at -82 on the number line and go 15 units left (the negative direction), ending up at -97, so


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -6[-27\ -\ (-97)]]


which can be written


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -6[-27\ +\ (-1)(-97)]]


Minus times minus is plus, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -6[-27\ +\ 97]]


Now, focus on the expression inside the square brackets.  Start at -27 and go 97 units to the right (the positive direction), ending up at +70, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -6[70]]


Minus times plus is minus, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -420]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
</font>