Question

1. 2(m + 1) = 3m

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(2(m + 1)\) to get \(2m+2\). So the equation becomes \(2m + 2=3m\).

Step2: Subtract \(2m\) from both sides

Subtract \(2m\) from each side of the equation \(2m + 2=3m\) to isolate the variable. We have \(2m+2 - 2m=3m - 2m\), which simplifies to \(2=m\) or \(m = 2\).

Answer:

\(m = 2\)