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

Answer 1

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

1. Distribute the \(-6\) into \((3 - 3a)\): \[ -6 \cdot 3 + (-6) \cdot (-3a) = -18 + 18a \]

2. Distribute the \(-2\) into \((8a + 3)\): \[ -2 \cdot 8a + (-2) \cdot 3 = -16a - 6 \]

3. Combine the results from steps 1 and 2: \[ (-18 + 18a) + (-16a - 6) \]

4. Combine like terms:

   • For \(a\) terms: \(18a - 16a = 2a\)
   • For constant terms: \(-18 - 6 = -24\)

5. Therefore, the simplified expression is: \[ 2a - 24 \]

So, \(-6(3 - 3a) - 2(8a + 3) = 2a - 24\).