Math Problem Statement

-9a - 2(9a-5)

Solution

Let's simplify the expression step by step.

Given expression:
9a2(9a5)-9a - 2(9a - 5)

  1. Distribute the -2 to the terms inside the parentheses: 9a2(9a)+2(5)-9a - 2(9a) + 2(5) =9a18a+10= -9a - 18a + 10

  2. Combine like terms (terms involving aa): (9a18a)+10=27a+10(-9a - 18a) + 10 = -27a + 10

So, the simplified expression is: 27a+10-27a + 10

Would you like further details or have any questions?

Here are 5 related questions:

  1. How do you factor expressions like 27a+10-27a + 10?
  2. Can you simplify 3x4(2x+7)-3x - 4(2x + 7)?
  3. What is the difference between distributing and factoring?
  4. How do you solve linear equations after simplifying them?
  5. What is the next step if you were given an equation like 9a2(9a5)=0-9a - 2(9a - 5) = 0?

Tip: Always apply the distributive property carefully by multiplying each term inside the parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8