Negative Sign Bd8789

1. Let's clarify how the value $-6$ was obtained. 2. When solving equations, multiplying or dividing both sides by a negative number changes the sign of the terms. 3. For example, if you have an equation like $$x = 6$$ and you multiply both sides by $$-1$$, you get $$-1 \times x = -1 \times 6$$ which simplifies to $$-x = -6$$. 4. Alternatively, if you have $$-x = 6$$ and divide both sides by $$-1$$, you get $$\frac{-x}{-1} = \frac{6}{-1}$$ which simplifies to $$x = -6$$. 5. So, to get $-6$, you either multiply or divide both sides by $-1$, which flips the sign. 6. The key is that multiplying or dividing both sides of an equation by a negative number reverses the sign of the terms.