To solve the equation \(-1.6r + 5 = 1.8\), we need to isolate the variable \(r\). First, subtract 5 from both sides of the equation to eliminate the constant term on the left side. Then, divide both sides by \(-1.6\) to solve for \(r\).
Step 1: Rearranging the Equation
Starting with the equation:
\[
-1.6r + 5 = 1.8
\]
we subtract 5 from both sides:
\[
-1.6r = 1.8 - 5
\]
This simplifies to:
\[
-1.6r = -3.2
\]
Step 2: Solving for \( r \)
Next, we divide both sides by \(-1.6\):
\[
r = \frac{-3.2}{-1.6}
\]
This simplifies to:
\[
r = 2.0
\]
Final Answer
The solution for \( r \) is:
\[
\boxed{r = 2.0}
\]