Question 179184
You can do anything to an equation,
as long as you do the same thing to both sides
Some things you could do make it less simple
You want to make it more simple
{{{n/3 = 16 - n}}}
1st I'll multiply both sides by {{{3}}}
{{{3*(n/3) = 3*(16 - n)}}}
{{{n = 48 - 3n}}}
Now add {{{3n}}} to both sides
{{{n + 3n = 48 - 3n + 3n}}}
{{{4n = 48}}}
{{{n = 12}}} answer
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Suppose I wanted to do something totally different?
Just to show you I'll get the same answer
I'll subtract {{{n/3}}} from both sides
{{{n/3 - n/3 = 16 - n - n/3}}}
{{{0 = 16 - n - n/3}}}
Now I'll divide both sides by {{{n}}}
{{{0/n = 16/n - n/n - (1/n)*(n/3)}}}
{{{0 = 16/n - 1 - 1/3}}}
Add {{{1 + 1/3}}} to both sides
{{{16/n = 3/3 + 1/3}}}
{{{16/n = 4/3}}}
Multiply both sides by {{{n}}}
{{{16 = (4/3)*n}}}
Multiply both sides by {{{3}}}
{{{48 = 4n}}}
{{{n = 12}}}
That was the hard way, but I got the same answer