Question 244822
{{{(-2m/3)+(1/2)=(-1/4)}}}
Find common denominator.  Let's use 12 (4*3=12 ... and it is divisible by 2).
{{{((-2m/3)(4/4))+((1/2)(6/6))=(-1/4)(3/3)}}}
{{{(-8m/12)+(6/12)=(-3/12)}}}
{{{(-8m/12)=(-3/12)-(6/12)}}}
{{{(-8m/12)=(-9/12)}}}
When we multiply by 12 on both sides, we get:
{{{-8m=-9}}}
{{{m=9/8}}}
.
Done!