The first thing you need to do is distribute the 7 into the set of parenthesis on the right. That will give you [tex]-np-3 \geq 7c-28[/tex]. Then add 3 to both sides: [tex]-np \geq 7c-25[/tex]. Divide both sides by p to get [tex]-n \geq \frac{7c-25}{p} [/tex]. Now divide both sides by -1. This is where the sign of inequality is going to change direction. That's why I saved it til last so we could make a point of making sure it gets done. [tex]n \leq -( \frac{7c-25}{p}) [/tex] and if you distribute the negative in your solution is [tex]n \leq \frac{-7c+25}{p} [/tex]. Or you could write the positive expression first, as many of us prefer: [tex]n \leq \frac{25-7c}{p} [/tex]. There you go!
