To solve the equation \(-0.1w + 23.2 = -0.8\), we can follow these steps:
Step 1: Isolate the term with \(w\) on one side. We can do this by subtracting 23.2 from both sides:
\[ -0.1w + 23.2 - 23.2 = -0.8 - 23.2 \]
This simplifies to:
\[ -0.1w = -24 \]
Step 2: Now, divide both sides by -0.1 to solve for \(w\):
\[ w = \frac{-24}{-0.1} \]
Calculating the right side gives:
\[ w = 240 \]
Solution: Thus, the solution for \(w\) is
\[ w = 240 \]