Question 199885
{{{10+14*abs(n/11)=24}}} Start with the given equation.



{{{14*abs(n/11)=24-10}}} Subtract 10 from both sides.



{{{14*abs(n/11)=14}}} Combine like terms.



{{{abs(n/11)=14/14}}} Divide both sides by 14.



{{{abs(n/11)=1}}} Reduce



Break up the absolute value (remember, if you have {{{abs(x)=a}}}, then {{{x=-a}}} or {{{x=a}}})


{{{n/11=-1}}} or {{{n/11=1}}} Set the expression {{{n/11}}} equal to the original value 1 and it's opposite -1





Lets focus on the first equation  {{{n/11=-1}}}



{{{n=-1*11}}} Multiply both sides by 11.



{{{n=-11}}} Multiply.




Now lets focus on the second equation  {{{n/11=1}}}



{{{n=1*11}}} Multiply both sides by 11.



{{{n=11}}} Multiply.



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Answer:



So the solutions are {{{n=-11}}} or {{{n=11}}}