Simplify.
\[
9+6 \cdot 7
\]
\[
9+6 \cdot 7=
\]

Step 1 ：The question is asking to simplify the given mathematical expression. In order to do this, we need to follow the order of operations, often remembered by the acronym PEMDAS which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). In this case, we have addition and multiplication. According to PEMDAS, we should perform the multiplication before the addition.

Step 2 ：\[9+6 \cdot 7\]

Step 3 ：Perform the multiplication first: \[6 \cdot 7 = 42\]

Step 4 ：Then add the result to 9: \[9 + 42 = 51\]

Step 5 ：Final Answer: The simplified form of the expression \(9+6 \cdot 7\) is \(\boxed{51}\)