Question 162837
Well, you're not totally off base, perhaps only half off!
Solve for n:
{{{abs(5n-6) = 22}}} Remove the the absolute-value bars, but note you will get two equations as a result!
{{{5n-6 = 22}}} or {{{5n-6 = -22}}} Now you solve these two equations, the first of which you have done correctly.
First one:
{{{5n-6 = 22}}} Add 6 to both sides.
{{{5n = 28}}} Divide both sides by 5.
{{{n = 28/5}}}
{{{highlight(n = 5.6)}}} or {{{n = 5}}}{{{3/5}}}
Second one:
{{{5n-6 = -22}}} Add 6 to both sides.
{{{5n = -16}}} Divide both sides by 5.
{{{n = -16/5}}}
{{{highlight(n = -3.2)}}} or {{{n = -3}}}{{{1/5}}}