Simplify-4(7b+3)+24b-8

Question

A. -4b-20
B. 4b-20
C. -4b+20
D. 4b+20

Answer 1

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

1. Distribute the \(-4\) in the term \(-4(7b + 3)\): \[ -4 \cdot 7b - 4 \cdot 3 = -28b - 12 \]

2. Substitute back into the expression: \[ -28b - 12 + 24b - 8 \]

3. Combine like terms:

   • For the \(b\) terms: \(-28b + 24b = -4b\)
   • For the constant terms: \(-12 - 8 = -20\)

4. Putting it all together: \[ -4b - 20 \]

So, the simplified expression is \(-4b - 20\), which corresponds to option A.