Respuesta :

schurr

In this question, you're solving for a.

Solve for a:

-84 = 6(4a - 2)

Distribute the 6 to the variables inside the parenthesis

-84 = 24a - 12

Add 12 to both sides

-72 = 24a

Divide both sides by 24

-3 = a

This means that answer choice D would be the correct answer.

Answer:

D). -3

Answer:

a = -3

Step-by-step explanation:

Here, we see that variable (a) is inside the parentheses. The variable (a) can only be isolated if it is outside the parentheses. Thus, to solve for variable (a), we will need to open the parentheses.

Now, we also see a term outside the parentheses. These expressions are called "distributive property". Let us learn how to simplify a distributive property before solving for variable (a).

How to simplify a distributive property?

To simplify a distributive property, we need to multiply the term, outside the parentheses, by the terms inside the parentheses.

Let us take a(b + c) as an example.

To simplify a(b + c), let us multiply the term, outside the parentheses (a), with all the terms inside the parentheses (b and c).

⇒ a(b + c) = (a × b) + (a × c) = ab + ac

Solving for the variable (a):

Given equation:

  • -84 = 6(4a – 2)

Let us simplify the distributive property using the above knowledge.

  • ⇒ -84 = 6(4a – 2)
  • ⇒ -84 = (6 × 4a) – (6 × 2)
  • ⇒ -84 = (24a) – (12)

Now, let's solve for a.

  • ⇒ -84 = 24a – 12                        (Opening the parentheses)
  • ⇒ -84 + 12 = 24a – 12 + 12          (Adding both sides by 12)
  • ⇒ -72 = 24a                                   (Simplifying both sides)
  • ⇒ -72/24 = 24a/24                     (Dividing both sides by 24)
  • ⇒ -3 = a                                          (Simplifying both sides)

Therefore, the value of the variable (a) is -3.

Learn more about equations here: https://brainly.com/question/27741598

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