The key in this problem is to apply the order of operations correctly.
P
E
MD
AS
[3*32+13*(-2)] + 7[8-(4-9)]
Parentheses: perform any operations within parentheses first
(4-9) = -5 --> [3*32+13*(-2)] + 7[8-(-5)]
[8-(-5)] = 13 --> [3*32+13*(-2)] + 7*13 = 3*32 + 13*(-2) + 7*13
Exponents: none in this problem
Multiplication and Division left to right:
3*32 = 96 --> 96 + 13*(-2) + 7*13
13*(-2) = -26 --> 96 + (-26) + 7*13
7*13 = 91 --> 96 + (-26) + 91
Addition and Subtraction left to right:
96 + (-26) = 70 --> 70 + 91 =161