Question

13 what is the solution to the equation -8z + 12 = 26

Explanation:

Step1: Subtract 12 from both sides

To isolate the term with \( z \), we subtract 12 from both sides of the equation \(-8z + 12 = 26\). This gives us \(-8z + 12 - 12 = 26 - 12\), which simplifies to \(-8z = 14\).

Step2: Divide by -8

Next, we divide both sides of the equation \(-8z = 14\) by \(-8\) to solve for \( z \). So, \( z=\frac{14}{-8}\), which simplifies to \( z = -\frac{7}{4}\) or \( z=-1.75 \).

Answer:

\( z = -\frac{7}{4} \) (or \( z = -1.75 \))