Answer:
To simplify the expression |16 + 4(3q+p)|, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break it down step-by-step:
1. Start by simplifying the expression inside the absolute value bars. Since the absolute value of a number is its distance from zero, we can remove the bars if the number inside is positive, and change the sign if the number inside is negative.
2. Next, simplify the expression inside the parentheses. We have 4(3q+p), which means we need to distribute the 4 to both terms inside the parentheses. This gives us 12q + 4p.
3. Now we can simplify further. Since we have 16 + 12q + 4p, we can combine like terms. In this case, there are no like terms to combine.
So, the final simplified expression is 16 + 12q + 4p.