(3) \( 6(-5 n+7) \)

Let's dive into this expression! First, we can distribute the \(6\) to both terms inside the parentheses. So, we get \(6 \times -5n = -30n\) and \(6 \times 7 = 42\). Putting it all together, we have: \[6(-5n + 7) = -30n + 42.\] Now, this expression is simplified and ready for use in equations or further calculations! But wait, did you know that distributions like this one are used not just in algebra, but also in computer programming? When we break down complex calculations, programmers often use similar distributing principles to ensure that operations are executed in the right order, making the code cleaner and more efficient!