Final answer:
The simplification of 28+[32-16] of (15-6×2) gives a result of 76. This is done following the order of operations, completing work in parentheses and brackets first, then performing multiplication and division, and finally addition.
Step-by-step explanation:
To simplify the expression 28+[32-16] of (15-6×2), we first need to follow the order of operations, often remembered through the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Firstly, we perform the operation within the square brackets: 32 - 16 = 16.
Next, perform the operation within the parentheses: 15 - 6×2. According to the order of operations, do the multiplication first: 6×2 = 12. Then subtract this result from 15: 15 - 12 = 3.
Now we replace the original problems with our results, getting: 28 + 16 of 3. The word "of" in Mathematics usually means multiplication, so we multiply 16 by 3 to obtain 48. This leaves us with the final operation: 28 + 48. The result of this addition is 76.
To summarize, the simplification of 28 + [32 - 16] of (15 - 6×2) is 76.
Learn more about Order of Operations