To solve the equation \((23 - 4) \cdot 71 = r \cdot 71 - 4 \cdot 71\), we can use the properties of multiplication.
First, simplify the left side of the equation:
\[ 23 - 4 = 19 \]
So, we have:
\[ 19 \cdot 71 = r \cdot 71 - 4 \cdot 71 \]
Now, we can simplify \(4 \cdot 71\) on the right side:
\[ 19 \cdot 71 = r \cdot 71 - 284 \]
Next, we can factor out \(71\) on the right side:
\[ 19 \cdot 71 = (r - 4) \cdot 71 \]
Since \(71\) is common on both sides, we can divide both sides by \(71\) (assuming \(71 \neq 0\)):
\[ 19 = r - 4 \]
Now, solve for \(r\):
\[ r = 19 + 4 \] \[ r = 23 \]
Thus, the value of \(r\) that makes the multiplication sentence true is:
\[ \boxed{23} \]