To solve the equation , first, multiply both sides by -6 to eliminate the fraction:

Next, add 7 to both sides to isolate :

So, the solution is .

Now, here’s some fun context: Many students often forget to handle the signs correctly when working with equations. It’s easy to trip over negative numbers or the concept of dividing or multiplying both sides of an equation by a negative, which flips inequalities!

For more practice with similar equations, consider tackling problems that involve both -6 and real-world scenarios like temperature conversion! Explore how changing temperatures can teach you about positive and negative values in math while keeping your mind sharp!