#### Answer

$n=5$

#### Work Step by Step

To solve a linear equation, we use the properties of equality and of real numbers to isolate the variable in the equation and find the solution.
For the equation $3n+2=17$, we must first subtract $2$ from each side: $$3n+2-2=17-2$$$$3n=15$$
Next, we divide by $3$ on each side of the equation: $$\frac{3n}{3}=\frac{15}{3}$$$$n=5$$