Math Problem Statement

7(9+10n)

Solution

To simplify the expression 7(9+10n)7(9 + 10n), we apply the distributive property:

7×9+7×10n7 \times 9 + 7 \times 10n

This results in:

63+70n63 + 70n

So, the simplified expression is:

63+70n63 + 70n

Let me know if you need more details or further clarification!


Here are five related questions:

  1. What is the value of nn if the expression equals 100?
  2. How would the expression change if the number 9 was replaced with 5?
  3. What happens if you factor out the 7 from the expression 63+70n63 + 70n?
  4. Can you simplify the expression 7(2+3n)+4(5+6n)7(2 + 3n) + 4(5 + 6n)?
  5. How would you solve for nn in the equation 7(9+10n)=1407(9 + 10n) = 140?

Tip: When working with distributive property, always multiply each term inside the parentheses by the factor outside!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

Distributive Property Theorem

Suitable Grade Level

Grades 6-8