Let's solve the equation step by step:
Given the equation:
\[ 4(2n - 4) + 3 = 8n - 19 \]
First, distribute the \(4\) on the left side:
\[ 4 \cdot 2n - 4 \cdot 4 + 3 = 8n - 19 \]
This simplifies to:
\[ 8n - 16 + 3 = 8n - 19 \]
Now combine the constants on the left side:
\[ 8n - 13 = 8n - 19 \]
Next, we'll isolate terms involving \(n\). We can subtract \(8n\) from both sides:
\[ -13 = -19 \]
This equation, \(-13 = -19\), is false.
Since we've arrived at a false statement, this means that there are no solutions to the original equation.
Thus, the answer is:
0 solutions