Question 790738
{{{24a-8-10a=-2(4-7a)}}} Start with the given equation.



{{{24a-8-10a=-8+14a}}} Distribute.



{{{14a-8=-8+14a}}} Combine like terms on the left side.



{{{14a=-8+14a+8}}} Add {{{8}}} to both sides.



{{{14a-14a=-8+8}}} Subtract {{{14a}}} from both sides.



{{{0a=-8+8}}} Combine like terms on the left side.



{{{0a=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 value of 'a', this means 'a' can equal any number. 


So there are an <font color="red">infinite number of solutions</font>.