Question 610962
{{{2m+3(m+2)=6(m+2)-14}}} Start with the given equation.



{{{2m+3m+6=6m+12-14}}} Distribute.



{{{5m+6=6m+12-14}}} Combine like terms on the left side.



{{{5m+6=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=(-8)/(-1)}}} 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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