1. **State the problem:** Simplify the expression $3(2x+3)+14-2(4^2)$. 2. **Recall the order of operations:** First, evaluate exponents, then multiplication and division from left to right, and finally addition and subtraction. 3. **Evaluate the exponent:** $4^2 = 16$. So the expression becomes $3(2x+3) + 14 - 2(16)$. 4. **Distribute multiplication:** $3(2x+3) = 3 \times 2x + 3 \times 3 = 6x + 9$. Also, $2(16) = 32$. So the expression is now $6x + 9 + 14 - 32$. 5. **Combine like terms:** $9 + 14 = 23$, so $6x + 23 - 32$. Then $23 - 32 = -9$. 6. **Final simplified expression:** $6x - 9$.