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simplify the expression 2(-1 - 2b) + -4b

Question

simplify the expression
2(-1 - 2b) + -4b

Explanation:

Step1: Distribute the 2

Using the distributive property \(a(b + c)=ab+ac\), we have \(2(-1 - 2b)=2\times(-1)+2\times(-2b)=-2-4b\)

Step2: Combine like terms

Now the expression becomes \(-2 - 4b-4b\). Combining the \(b\) terms: \(-4b-4b=-8b\), so the simplified expression is \(-2-8b\) (or we can also write it as \(-8b - 2\))

Answer:

\(-2 - 8b\) (or \(-8b - 2\))