Final answer:
To simplify 19-6(-k+4), distribute -6 to both -k and +4 resulting in 6k - 24, then combine like terms (19 and -24) for a final simplified expression of 6k - 5.
Step-by-step explanation:
To simplify the expression 19-6(-k+4), we first apply the distributive property to the terms inside the parentheses. That involves multiplying -6 by each term inside the parentheses.
- Multiply -6 by -k to get +6k.
- Multiply -6 by +4 to get -24.
The expression now looks like this: 19 + 6k - 24. Next, we combine like terms.
- Combine the constants 19 and -24 to get -5.
The simplified expression is 6k - 5.