Question

4z + 5 = -3z - 8

Explanation:

Step1: Add \(3z\) to both sides

To get all the \(z\) terms on one side, we add \(3z\) to both sides of the equation \(4z + 5=-3z - 8\). This gives us \(4z+3z + 5=-3z+3z - 8\), which simplifies to \(7z + 5=-8\).

Step2: Subtract 5 from both sides

Next, we want to isolate the term with \(z\). So we subtract 5 from both sides of the equation \(7z + 5=-8\). This results in \(7z+5 - 5=-8 - 5\), which simplifies to \(7z=-13\).

Step3: Divide by 7

To solve for \(z\), we divide both sides of the equation \(7z=-13\) by 7. So we have \(\frac{7z}{7}=\frac{-13}{7}\), which gives \(z =-\frac{13}{7}\).

Answer:

\(z =-\frac{13}{7}\)