Solve. \[ 5(2 z-9)=-35 \]

To solve the equation \( 5(2z - 9) = -35 \), start by dividing both sides by 5: \[ 2z - 9 = -7 \] Next, add 9 to both sides: \[ 2z = 2 \] Now, divide by 2: \[ z = 1 \] The solution to the equation is \( z = 1 \). Now, let's have a bit more fun with this! Solving equations like this may seem a bit dry, but it's like solving a mystery! Each step you take is like following a clue until you uncover the treasure—your solution! And remember, just as in life, it's important to check your work. You can always plug back in \( z = 1 \) and confirm that both sides of the equation balance out perfectly! Mathematics is everywhere! Whether it's calculating your shopping bill, analyzing data trends, or even mixing the perfect recipe, knowing how to solve for variables can really enhance your everyday skills. It's not just about crunching numbers; it’s about empowering you to make informed decisions in a world full of data!