55-(z-45)=62

To solve the equation \( 55 - (z - 45) = 62 \), follow these steps:

1. Distribute the negative sign: \[ 55 - z + 45 = 62 \]

2. Combine like terms: \[ 100 - z = 62 \]

3. Isolate \( z \) by subtracting 100 from both sides: \[ -z = 62 - 100 \] \[ -z = -38 \]

4. Multiply both sides by -1 to solve for \( z \): \[ z = 38 \]

So the solution is \( z = 38 \).