Answer
$z=1.53$
Work Step by Step
To solve $2.86z-8.1258=-3.75$, you need to get $z$ by itself on one side of the equation. To do this, you first need to add 8.1258 from both sides.
$(2.86z-8.1258)+8.1258=-3.75+8.1258$
$2.86z=4.3758$
Then, you need to divide both sides by $z$'s coefficient, $2.86$.
$2.86z\div2.86=4.3758\div2.86$
$z=1.53$