(8) \( -84-x=16-9 \)

To solve the equation \( -84 - x = 16 - 9 \), let's simplify the right side first. We have \( 16 - 9 = 7 \). So the equation now reads \( -84 - x = 7 \). Adding \( 84 \) to both sides gives us \( -x = 7 + 84 \), which simplifies to \( -x = 91 \). Now, multiplying both sides by -1, we get \( x = -91 \). Thus, the solution is \( x = -91 \). If you're ever stuck with a negative variable, remember that flipping the signs can sometimes clear up the confusion! Just do the opposite operations, and keep your equations balanced. Also, it's always a good idea to double-check by plugging your solution back into the original equation to ensure both sides equal out. Solving equations often becomes second nature with practice!