Simplify −4(7b+3)+24b−8 .

Question

-4b+20
-4b-20
4b-20
4b+20

Answer 1

To simplify the expression \(-4(7b+3)+24b−8\), follow these steps:

1. Distribute \(-4\) to both terms inside the parentheses: \[ -4(7b) - 4(3) = -28b - 12 \]

2. Now rewrite the expression: \[ -28b - 12 + 24b - 8 \]

3. Combine like terms. First, combine the terms for \(b\): \[ -28b + 24b = -4b \]

4. Now, combine the constant terms: \[ -12 - 8 = -20 \]

5. Putting it all together, we get: \[ -4b - 20 \]

Thus, the simplified expression is: \[ \boxed{-4b - 20} \]