Let's simplify the expression step by step:
-
Start with the expression: \[ -6(3 - 3a) - 2(8a + 3) \]
-
Distribute the -6 in the first part: \[ -6 \cdot 3 + (-6)(-3a) = -18 + 18a \]
-
Distribute the -2 in the second part: \[ -2 \cdot 8a + (-2)(3) = -16a - 6 \]
-
Now, combine the results: \[ -18 + 18a - 16a - 6 \]
-
Combine like terms (the \(a\)-terms and constants):
- For the \(a\)-terms: \(18a - 16a = 2a\)
- For the constants: \(-18 - 6 = -24\)
So, the simplified expression is: \[ 2a - 24 \]