Simplify −4(7b+3)+24b−8.(1 point)%0D%0AResponses%0D%0A%0D%0A4b+20%0D%0A4 b plus 20%0D%0A%0D%0A−4b−20%0D%0Anegative 4 b minus 20%0D%0A%0D%0A4b−20%0D%0A4 b minus 20%0D%0A%0D%0A−4b+20
-4(7b+3)+24b-8 simplifies to -28b - 12 + 24b - 8.
Combining like terms, we get -4b - 20.
Therefore, the simplified expression is -4b - 20.
To simplify the expression, you can start by distributing the -4 to the terms inside the parentheses:
-4(7b+3) + 24b - 8
= -28b - 12 + 24b - 8
Next, combine like terms:
= (-28b + 24b) + (-12 - 8)
= -4b - 20
Therefore, the simplified expression is -4b - 20.
To simplify the expression −4(7b+3)+24b−8, we can start by using the distributive property to multiply −4 by each term inside the parentheses:
−4(7b+3) = −4 * 7b + (-4 * 3) = -28b - 12.
Now, we can rewrite the entire expression:
-28b - 12 + 24b - 8.
Next, we combine the like terms. The terms with "b" are -28b and 24b, which can be combined as (-28b + 24b = -4b). Similarly, we combine the constants -12 and -8 as (-12 - 8 = -20).
Therefore, the expression simplifies to:
-4b - 20.
So, the correct answer is -4b - 20.