Question 490815
{{{7n-6+n=2(4n-3)}}} Start with the given equation.



{{{7n-6+n=8n-6}}} Distribute.



{{{8n-6=8n-6}}} Combine like terms on the left side.



{{{8n=8n-6+6}}} Add {{{6}}} to both sides.



{{{8n-8n=-6+6}}} Subtract {{{8n}}} from both sides.



{{{0n=-6+6}}} Combine like terms on the left side.



{{{0n=0}}} Combine like terms on the right side.



{{{0=0}}} Simplify.



Since this equation is <font size=4><b>ALWAYS</b></font> true for any n value, this means n can equal any number. 



So there are an infinite number of solutions.