To solve this equation, we will first simplify the left side:

2.58 / 13 = 0.198

Now we can rewrite the equation:

0.198 = 1.076 - 0.56 / z

Next, we will isolate the variable z by moving the terms around:

0.198 + 0.56 = 1.076 - 1.076

0.758 = -0.876/z

To solve for z, we can multiply both sides by -z:

z * 0.758 = -0.876

z = -0.876 / 0.758

z ≈ -1.155

Therefore, the solution to the equation is z ≈ -1.155.