Question 737007
{{{-6(w+1)-w-11=-7(w+5)+18}}} Start with the given equation.



{{{-6w-6-w-11=-7w-35+18}}} Distribute.



{{{-7w-17=-7w-35+18}}} Combine like terms on the left side.



{{{-7w-17=-7w-17}}} Combine like terms on the right side.



{{{-7w=-7w-17+17}}} Add {{{17}}} to both sides.



{{{-7w+7w=-17+17}}} Add {{{7w}}} to both sides.



{{{0w=-17+17}}} Combine like terms on the left side.



{{{0w=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 w value, this means w can equal any number. So there are an infinite number of solutions.


So the answer is <font color="red">choice 2</font>


1. The solution set is (enter answer)
<font color="red">2. The solution is all real numbers</font>
3. The solution set is (a null symbol)