To solve the equation \(-5 (3a + 1) - 11 = -16\), follow these steps:
Distribute \(-5\) on the left side: \[ -5 \cdot 3a - 5 \cdot 1 - 11 = -16 \] This simplifies to: \[ -15a - 5 - 11 = -16 \]
Combine like terms: \[ -15a - 16 = -16 \]
Add \(16\) to both sides to isolate the term with \(a\): \[ -15a - 16 + 16 = -16 + 16 \] This simplifies to: \[ -15a = 0 \]
Divide by \(-15\) to solve for \(a\): \[ a = 0 \]
Thus, the solution to the equation is: \[ a = 0 \]
