Solve fo r w. 8(w+74)=-24 W= square

To solve for $w$, we can start by distributing the 8 on the left side of the equation:<br /><br />$8(w+74)=-24$<br /><br />$8w + 592 = -24$<br /><br />Next, we can subtract 592 from both sides of the equation to isolate the term with $w$:<br /><br />$8w + 592 - 592 = -24 - 592$<br /><br />$8w = -616$<br /><br />Finally, we can divide both sides of the equation by 8 to solve for $w$:<br /><br />$\frac{8w}{8} = \frac{-616}{8}$<br /><br />$w = -77$<br /><br />Therefore, the solution to the equation is $w = -77$.