First, to solve the equation , we need to isolate the variable . Start by adding 1 to both sides to eliminate the -1:

Now, divide both sides by -7 to solve for :

So, the solution to the equation is .

Now, let’s explore some interesting tidbits!

When dealing with equations involving variables, it’s like a treasure hunt where every operation brings you closer to the prize: finding the value of the variable! Just remember to balance both sides like a seesaw—what you do to one side, you must do to the other.

Also, don’t hesitate to check your work! Plugging back into the original equation gives you:

Verifying your solutions is like getting a second opinion; it can confirm that you’ve hit the jackpot!