Math Problem Statement

Add. (6g–6)+( – 5g–7)

Solution

To simplify the given expression, follow these steps:

The expression is:
(6g6)+(5g7)(6g - 6) + (-5g - 7)

Step 1: Remove the parentheses

6g65g76g - 6 - 5g - 7

Step 2: Combine like terms

  • Combine the gg-terms: 6g5g=g6g - 5g = g
  • Combine the constants: 67=13-6 - 7 = -13

Final Expression:

g13g - 13

Answer:

g13g - 13

Would you like a detailed explanation of the steps or have further questions?

Here are 5 related questions to expand your understanding:

  1. How do you handle subtraction within parentheses in algebraic expressions?
  2. What are like terms, and why do we combine them?
  3. How do you factorize expressions like g13g - 13?
  4. How does adding and subtracting negative numbers affect the solution?
  5. How would the solution change if additional terms were present?

Tip: Always keep track of negative signs when working with algebraic expressions to avoid mistakes!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions

Formulas

Combining like terms: ax + bx = (a+b)x

Theorems

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Suitable Grade Level

Grades 6-8