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rewrite in simplest terms: $9m - 2(3m - 1)$

Question

rewrite in simplest terms: $9m - 2(3m - 1)$

Explanation:

Step1: Distribute the -2

Using the distributive property \(a(b - c)=ab - ac\), we have \(-2(3m - 1)=-2\times3m-2\times(-1)= - 6m + 2\). So the expression becomes \(9m-6m + 2\).

Step2: Combine like terms

Combine the \(m\)-terms: \(9m-6m=(9 - 6)m = 3m\). So the simplified expression is \(3m + 2\).

Answer:

\(3m + 2\)