To solve the equation \(-18b = 4(2b - 13)\), we start by distributing the 4 on the right side of the equation:
\[ -18b = 4 \cdot 2b - 4 \cdot 13 \] \[ -18b = 8b - 52 \]
Next, we will get all the terms involving \(b\) on one side. We can add \(18b\) to both sides of the equation:
\[ -18b + 18b = 8b - 52 + 18b \] \[ 0 = 26b - 52 \]
Now, we can isolate \(b\) by adding 52 to both sides:
\[ 52 = 26b \]
Next, divide both sides by 26 to solve for \(b\):
\[ b = \frac{52}{26} = 2 \]
Thus, the solution to the equation is:
\[ \boxed{2} \]