To perform the given operations, let's break it down step by step:
Step 1: Calculate the absolute values.
|-27| = 27
|-12| = 12
Step 2: Combine the absolute values with the given expressions.
|-27| - 72 + |-12| + (-49) = 27 - 72 + 12 + (-49)
Step 3: Simplify the expression by adding and subtracting.
27 - 72 + 12 - 49 = -82
Answer: -82