Just so I know I am understanding this, can you please let me know if I am doing this right?

Simplify:
24u - 6(8 - 4u) + 52
24u -48 + 24u + 52
48u + 4

Thanks!!!!

Right.

Correct answer.

To simplify the expression 24u - 6(8 - 4u) + 52, you need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, let's simplify the expression inside the parentheses: 8 - 4u.
Next, distribute the -6 to both terms inside the parentheses, which gives us -6(8) - 6(-4u).
This simplifies to -48 + 24u.

Now that the expression inside the parentheses has been simplified, we can re-write the original expression: 24u - 48 + 24u + 52.

Combine the like terms: 24u + 24u - 48 + 52.
This simplifies to 48u + 4.

So, you are absolutely correct! The simplified expression is 48u + 4.