To solve the equation \(-0.1w + 23.2 = -0.8\), we can follow these steps:
Step 1: Isolate the term with \(w\).
Subtract 23.2 from both sides:
\[ -0.1w = -0.8 - 23.2 \]
Calculating the right side:
\[ -0.1w = -24.0 \]
Step 2: Solve for \(w\).
Now, divide both sides by \(-0.1\):
\[ w = \frac{-24.0}{-0.1} \]
Calculating that gives:
\[ w = 240 \]
Solution: So, the solution is \(w = 240\).