98-((45+z)-38)=42

Let's solve the equation step by step:

The equation is:

\[ 98 - ((45 + z) - 38) = 42 \]

1. Simplify the equation inside the parentheses:

   \[ (45 + z) - 38 = 45 + z - 38 = z + 7 \]

2. Substitute back into the equation:

   \[ 98 - (z + 7) = 42 \]

3. Now, distribute the negative sign:

   \[ 98 - z - 7 = 42 \]

4. Combine like terms:

   \[ 91 - z = 42 \]

5. To isolate \( z \), subtract 91 from both sides:

   \[ -z = 42 - 91 \] \[ -z = -49 \]

6. Multiply by -1 to solve for \( z \):

   \[ z = 49 \]

So, the solution is:

\[ z = 49 \]