Multiply 2(-9x - 6).

Question image

Understand the Problem

The question is asking us to multiply the expression 2(-9x - 6). This involves applying the distributive property to simplify the expression.

Answer

The simplified expression is $-18x - 12$.
Answer for screen readers

The simplified expression is $-18x - 12$.

Steps to Solve

  1. Identify the expression to simplify

We have the expression $2(-9x - 6)$ which we need to simplify using the distributive property.

  1. Apply the distributive property

Distribute the 2 to both terms inside the parentheses: $$ 2(-9x) + 2(-6) $$

  1. Calculate each term

Now calculate each multiplication:

  • For the first term: $2 \times -9x = -18x$
  • For the second term: $2 \times -6 = -12$
  1. Combine the results

Combine the results from the previous step: $$ -18x - 12 $$

The simplified expression is $-18x - 12$.

More Information

This process uses the distributive property, which allows us to multiply a term outside the parentheses with each term inside the parentheses. This is a fundamental concept in algebra.

Tips

  • Forgetting to multiply both terms inside the parentheses.
  • Miscalculating the sign when multiplying negative numbers.

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