To solve the equation \(-3v - 33 = -5(v + 5)\), start by distributing the \(-5\) on the right side:
\[ -3v - 33 = -5v - 25 \]
Next, let's get all the \(v\) terms on one side and the constant terms on the other side. Add \(5v\) to both sides:
\[ -3v + 5v - 33 = -25 \]
This simplifies to:
\[ 2v - 33 = -25 \]
Now, add \(33\) to both sides to isolate the term with \(v\):
\[ 2v = -25 + 33 \]
This simplifies to:
\[ 2v = 8 \]
Now, divide both sides by \(2\):
\[ v = \frac{8}{2} = 4 \]
Thus, the solution is:
\[ \boxed{4} \]
To verify, substitute \(v = 4\) back into the original equation:
Left side:
\[ -3(4) - 33 = -12 - 33 = -45 \]
Right side:
\[ -5(4 + 5) = -5(9) = -45 \]
Both sides are equal, so the solution \(v = 4\) is confirmed.