Math Problem Statement

2(3a - 4)

Solution

To simplify the expression 2(3a4)2(3a - 4), you can distribute the 2 to both terms inside the parentheses:

2(3a4)=23a242(3a - 4) = 2 \cdot 3a - 2 \cdot 4

This simplifies to:

6a86a - 8

So, the simplified expression is 6a86a - 8.

Would you like any further details or have any questions?

Here are 5 related questions to expand on this topic:

  1. How would you solve 2(3a4)=102(3a - 4) = 10?
  2. What happens if you factor out the greatest common factor in 6a86a - 8?
  3. How would you simplify 3(4a5)2(2a+3)3(4a - 5) - 2(2a + 3)?
  4. Can you solve 6a8=06a - 8 = 0 for aa?
  5. What is the distributive property and how is it applied in algebraic expressions?

Tip: Always distribute multiplication over both terms inside parentheses before combining like terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification of Expressions

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8