SOLUTION: 2m+3(m+2)=6(m+2)-14

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Question 610962: 2m+3(m+2)=6(m+2)-14

Answer by jim_thompson5910(35256) About Me  (Show Source):
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2m%2B3%28m%2B2%29=6%28m%2B2%29-14 Start with the given equation.


2m%2B3m%2B6=6m%2B12-14 Distribute.


5m%2B6=6m%2B12-14 Combine like terms on the left side.


5m%2B6=6m-2 Combine like terms on the right side.


5m=6m-2-6 Subtract 6 from both sides.


5m-6m=-2-6 Subtract 6m from both sides.


-m=-2-6 Combine like terms on the left side.


-m=-8 Combine like terms on the right side.


m=%28-8%29%2F%28-1%29 Divide both sides by -1 to isolate m.


m=8 Reduce.


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Answer:

So the solution is m=8

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