Question 299440
Those vertical lines are absolute value bars.



{{{abs(2m-4)=11}}} Start with the given equation



Remember, if you have {{{abs(x)=a}}}, then {{{x=-a}}} or {{{x=a}}}



So this means that {{{abs(2m-4)=11}}} breaks down to:


{{{2m-4=-11}}} or {{{2m-4=11}}} 





Now lets focus on the first equation  {{{2m-4=-11}}}



{{{2m=-11+4}}} Add 4 to both sides



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



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



{{{m=-7/2}}} Reduce



Now lets focus on the second equation {{{2m-4=11}}}




{{{2m=11+4}}} Add 4 to both sides



{{{2m=15}}} Combine like terms on the right side



{{{m=(15)/(2)}}} Divide both sides by 2 to isolate m



{{{m=15/2}}} Reduce



So the solutions to {{{abs(2m-4)=11}}} are:


{{{m=-7/2}}} and {{{m=15/2}}}