Let's solve the expression step by step:

\[
-13 + 7(-15) - 46
\]

1. First, perform the multiplication:
   \[
   7 \times (-15) = -105
   \]

2. Substitute back into the equation:
   \[
   -13 + (-105) - 46
   \]

3. Now, add the terms from left to right:
   \[
   -13 + (-105) = -118
   \]

4. Finally, subtract 46:
   \[
   -118 - 46 = -164
   \]

So, the value of the expression is:

\[
\boxed{-164}
\]

Would you like any further details or have questions about any of the steps?

Here are 5 related questions:
1. How do you simplify an expression with multiple operations?
2. What is the distributive property in math?
3. How do you multiply integers with different signs?
4. What is the order of operations (PEMDAS)?
5. How do negative numbers affect addition and subtraction?

**Tip:** Always perform multiplication and division before addition and subtraction according to the order of operations.

Learn how to solve the integer expression -13 + 7(-15) - 46 with a detailed step-by-step explanation. This problem explores key arithmetic concepts, including multiplication of integers, the distributive property, and the order of operations. Suitable for students in Grades 6-8.

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