2) \( -1(3-4)+6(2-3+1)+7-1 \)

Let’s break it down step by step for clarity and some fun along the way! First, we simplify inside the parentheses: - \(3-4 = -1\) - \(2-3+1 = 0\) Now substituting back into the equation: \(-1(-1) + 6(0) + 7 - 1\) Now, we do the multiplication: - \(-1(-1) = 1\) - \(6(0) = 0\) So now we have: \(1 + 0 + 7 - 1\) Finally, combine those numbers: \(1 + 0 + 7 - 1 = 7\) Thus, the final answer is \( \boxed{7} \).