Chapter 1 - Solving Linear Equations - 1.3 - Solving Equations with Variables on Both Sides - Monitoring Progress - Page 20: 3

$n=0$

The given equation is $-\frac{3}{4}(8n+12)=3(n-3)$ Using distributive property, we can write $-6n-9=3n-9$ Add $9$ to both sides of the equation to get $-6n=3n$ Divide by $-6$ on both sides of the equation to have $\frac{-6n}{-6}=\frac{3n}{-6}$ Or $n=-\frac{n}{2}$ This is only possible when $n=0$.