#### Answer

$2$ is a solution of the given equation

#### Work Step by Step

The given number is a solution if it satisfies the given equation.
Substitute $2$ to $w$ to obtain:
$3(w+1)+11=2(w+8)
\\3(2+1)+11=2(2+8)
\\3(3)+11=2(10)
\\9+11=20
\\20=20$
The result is a true statement
Thus, $2$ is a solution of the given equation.