Math Problem Statement

3(4n+10)+5

Solution

Let's simplify the expression step by step:

Given expression: 3(4n+10)+53(4n + 10) + 5

  1. Distribute the 3 across the parentheses: 3×4n+3×10+53 \times 4n + 3 \times 10 + 5 This gives: 12n+30+512n + 30 + 5

  2. Combine like terms (30 + 5): 12n+3512n + 35

So, the simplified expression is: 12n+3512n + 35

Would you like more details or help with another problem?


Here are 5 related questions:

  1. How would you solve for nn if the expression equals 0?
  2. What would happen if we added another term, like +2n+2n, to the expression?
  3. How can you factor the expression 12n+3512n + 35?
  4. What is the difference between simplifying an expression and solving an equation?
  5. How would you apply the distributive property to a more complex expression like 3(2n+5)+4(n3)3(2n + 5) + 4(n - 3)?

Tip: When distributing, always make sure to multiply each term inside the parentheses by the factor outside, and double-check your signs.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

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

Theorems

Distributive Property of Multiplication

Suitable Grade Level

Grades 6-8