Question 477202
{{{(2+m)/(2-m)=3/4}}} Start with the given equation.



{{{4(2+m)=3(2-m)}}} Cross multiply.



{{{8+4m=6-3m}}} Distribute.



{{{4m=6-3m-8}}} Subtract {{{8}}} from both sides.



{{{4m+3m=6-8}}} Add {{{3m}}} to both sides.



{{{7m=6-8}}} Combine like terms on the left side.



{{{7m=-2}}} Combine like terms on the right side.



{{{m=(-2)/(7)}}} Divide both sides by {{{7}}} to isolate {{{m}}}.



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Answer:


So the solution is {{{m=-2/7}}}