g) \( 5-z=3-(z+2)(-2) \)

To solve the equation \( 5 - z = 3 - (z + 2)(-2) \), first simplify the right side. Distributing gives us \( 3 + 2(z + 2) = 3 + 2z + 4 = 7 + 2z \). Now, substitute this back into the equation: \[ 5 - z = 7 + 2z. \] Next, move all terms involving \( z \) to one side and constant terms to the other: \[ 5 - 7 = 2z + z \] \[ -2 = 3z. \] Dividing both sides by 3 results in \[ z = -\frac{2}{3}. \] So, the solution to the equation is \( z = -\frac{2}{3} \). Now, let’s have a little extra fun with this. Imagine this equation as a little tug-of-war between \( z \) and the numbers. The left side, \( 5 - z \), holds onto 5 tightly while letting \( z \) pull it down. Meanwhile, on the right side, \( 7 + 2z \) is trying to gain ground. In the battle, \( z \) has to adjust its position carefully to balance the forces. Once you isolate \( z \), it finds its sweet spot at \( -\frac{2}{3} \), where both sides finally agree! By the way, if you ever find yourself with similar equations, just remember to keep your terms organized and balanced—like making sure both sides of a seesaw have the same weight to avoid tipping over!