10) 75 = 3(-6n - 5)

Answer 1

To solve the equation \( 75 = 3(-6n - 5) \), follow these steps:

1. Distribute the 3 on the right side of the equation:

   \[ 75 = 3 \cdot (-6n) + 3 \cdot (-5) \] \[ 75 = -18n - 15 \]

2. Now, add 15 to both sides to isolate the term with \( n \):

   \[ 75 + 15 = -18n \] \[ 90 = -18n \]

3. Next, divide both sides by -18 to solve for \( n \):

   \[ n = \frac{90}{-18} \] \[ n = -5 \]

So the solution to the equation \( 75 = 3(-6n - 5) \) is \( n = -5 \).