Question

solve for z. -0.2z + 0.8 = -0.1z z =

Explanation:

Step1: Add 0.2z to both sides

To isolate the variable terms, we add \(0.2z\) to both sides of the equation \(-0.2z + 0.8 = -0.1z\). This gives us \(0.8 = -0.1z + 0.2z\).

Step2: Combine like terms

Simplify the right - hand side by combining the \(z\) terms. \(-0.1z+0.2z = 0.1z\), so the equation becomes \(0.8 = 0.1z\).

Step3: Solve for z

To solve for \(z\), we divide both sides of the equation \(0.8 = 0.1z\) by \(0.1\). Using the formula \(z=\frac{0.8}{0.1}\), we find that \(z = 8\).

Answer:

\(z = 8\)