Math Problem Statement

  • 6 -7 (c +10)

Solution

To simplify the expression 67(c+10)-6 - 7(c + 10), follow the steps below:

Step 1: Distribute 7-7 to both terms inside the parentheses:

7(c+10)=7c70-7(c + 10) = -7c - 70

Step 2: Rewrite the expression:

67c70-6 - 7c - 70

Step 3: Combine like terms (6-6 and 70-70):

670=76-6 - 70 = -76

Final Simplified Expression:

767c-76 - 7c

Would you like further clarification or an explanation of any step?


Related Questions:

  1. How do you handle parentheses in algebraic expressions?
  2. Can you simplify 5+3(x2)4x5 + 3(x - 2) - 4x?
  3. How do you factorize linear expressions like 767c-76 - 7c?
  4. How do you evaluate expressions for specific values of cc?
  5. What are common mistakes when distributing negative numbers?

Tip: Always distribute multiplication carefully, especially when negative numbers are involved, to avoid sign errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplifying Expressions

Formulas

Distributive property: a(b + c) = ab + ac
Combining like terms: ax + bx = (a + b)x

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8