To solve this arithmetic problem, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). In this case, the order of operations is multiplication first, then addition.
So, first multiply 14 by 9: 14 * 9 = 126
Then, subtract 45 from the result: -45 + 126 = 81
Therefore, -45 + 14 * 9 = 81.