Chapter 2 - Section 2.1 - Linear Equations in One Variable - Exercise Set - Page 56: 97

$z=1.53$

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, $2.86$. $2.86z\div2.86=4.3758\div2.86$ $z=1.53$