Question

simplify this expression:
4(1 - 2b) + 7b - 10.
type the correct answer in the box.

Explanation:

Step1: Distribute the 4

Using the distributive property \( a(b + c)=ab+ac \), we have \( 4(1 - 2b)=4\times1-4\times2b = 4-8b \).
So the expression becomes \( 4 - 8b+7b - 10 \).

Step2: Combine like terms

First, combine the constant terms: \( 4-10=-6 \).
Then, combine the \( b \) terms: \( -8b + 7b=-b \).
Putting it together, we get \( -6 - b \) (or \( -b - 6 \)).

Answer:

\(-b - 6\)