Let's solve the expression step by step.
First, simplify the expression inside the parentheses: \(20:5\) means \(20 \div 5 = 4\). So, we can rewrite the expression as \(16:4 \cdot 3 + 2\).
Next, we perform the division: \(16:4\) means \(16 \div 4 = 4\). Now, the expression is \(4 \cdot 3 + 2\).
Now, we perform the multiplication: \(4 \cdot 3 = 12\). The expression simplifies to \(12 + 2\).
Finally, do the addition: \(12 + 2 = 14\).
So, \(16:(20:5)•3+2 = 14\).