Solving the Math Problem: 6(-9) - (-8) - (-7)(4) + 11

As an experienced high school mathematics teacher, I'm excited to guide you through the process of solving the following problem: 6(-9) - (-8) - (-7)(4) + 11.

Step 1: Understand the Problem

The given expression consists of various arithmetic operations, including multiplication, subtraction, and addition. To solve this problem, we need to carefully apply the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to arrive at the correct solution.

Step 2: Simplify the Expressions Inside the Parentheses

Let's start by simplifying the expressions inside the parentheses:

• 6(-9): This is a multiplication operation, and the negative sign in front of the 9 indicates that the number is negative. Therefore, 6(-9) = -54.
• (-8): This is a single number, so there's no need to simplify it further.
• (-7)(4): This is a multiplication operation, and the negative sign in front of the 7 indicates that the number is negative. Therefore, (-7)(4) = -28.

Step 3: Apply the Order of Operations

Now, let's apply the order of operations to the entire expression:

1. Parentheses: 6(-9) = -54, (-8) = -8, (-7)(4) = -28
2. Multiplication and Division (from left to right): 6(-9) = -54, (-7)(4) = -28
3. Addition and Subtraction (from left to right): -54 - (-8) - (-28) + 11 = -54 + 8 + 28 + 11 = -7

Step 4: Provide the Final Solution

The solution to the problem 6(-9) - (-8) - (-7)(4) + 11 is -7.

I hope this detailed step-by-step solution helps you understand the process of solving this math problem. If you have any further questions or need additional assistance, feel free to reach out.