Question

solve for z: -9z - 8 = -6z + 7

Explanation:

Step1: Add \(6z\) to both sides

To get all the \(z\)-terms on one side, we add \(6z\) to both sides of the equation \(-9z - 8=-6z + 7\). This gives us \(-9z+6z - 8=-6z+6z + 7\), which simplifies to \(-3z - 8 = 7\).

Step2: Add 8 to both sides

Next, we want to isolate the term with \(z\), so we add 8 to both sides. This results in \(-3z - 8+8 = 7+8\), which simplifies to \(-3z=15\).

Step3: Divide by -3

Finally, to solve for \(z\), we divide both sides of the equation \(-3z = 15\) by \(-3\). So, \(\frac{-3z}{-3}=\frac{15}{-3}\), which gives \(z=-5\).

Answer:

\(z = - 5\)