-a•(6b-3c+4)

To simplify the expression \(-a \cdot (6b - 3c + 4)\), you can distribute \(-a\) across each term within the parentheses. Here's how it's done step-by-step:

1. Multiply \(-a\) by \(6b\): \[ -a \cdot 6b = -6ab \]

2. Multiply \(-a\) by \(-3c\): \[ -a \cdot (-3c) = 3ac \]

3. Multiply \(-a\) by \(4\): \[ -a \cdot 4 = -4a \]

Now, combine all the terms: \[ -a \cdot (6b - 3c + 4) = -6ab + 3ac - 4a \]

So the simplified expression is: \[ -6ab + 3ac - 4a \]