Let's solve the equation step-by-step:
Start with the equation: \[ -5(3a + 1) - 11 = -16 \]
Distribute \(-5\) into the parentheses: \[ -15a - 5 - 11 = -16 \]
Combine the constant terms on the left side: \[ -15a - 16 = -16 \]
Next, add \(16\) to both sides of the equation: \[ -15a - 16 + 16 = -16 + 16 \] \[ -15a = 0 \]
Now, divide both sides by \(-15\): \[ a = 0 \]
So, the solution is: \[ a = 0 \]