Simplify -4(7b + 3) + 24b - 8.
Options:
4b + 20
4b - 20
-4b + 20
-4b - 20
To simplify the expression, we can apply the distributive property.
Starting with -4(7b + 3), we can distribute -4 to both terms inside the parentheses:
-4 * 7b = -28b
-4 * 3 = -12
So, -4(7b + 3) simplifies to -28b - 12.
Next, we can combine like terms by adding 24b and -28b:
24b + (-28b) = -4b
Finally, we can combine the constants by adding -8 and -12:
-8 + (-12) = -20
Putting it all together, the simplified expression is:
-4b - 20
Therefore, the correct option is -4b - 20.