-6((3- 3a) -2(8a+ 3)

Answer 1

To simplify the expression \(-6((3 - 3a) - 2(8a + 3))\), follow these steps:

1. Distribute the \( -2 \) inside the parentheses:

   \[ -6((3 - 3a) - (16a + 6)) \]

   This becomes:

   \[ -6((3 - 3a - 16a - 6)) \]

2. Combine like terms inside the parentheses:

   \[ 3 - 6 - 3a - 16a = -3 - 19a \]

   The expression now looks like:

   \[ -6(-3 - 19a) \]

3. Distribute the \(-6\):

   \[ -6 \times -3 + -6 \times -19a \]

   This gives:

   \[ 18 + 114a \]

Thus, the simplified expression is:

\[ \boxed{18 + 114a} \]