Consider this equation:

Question

−2(4+n)=24

Correctly order the steps used to solve this equation.

(1 point)
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Step 1:
Step 2:
Step 3:
Question 2
Solve for n.

−2(4+n)=24

(1 point)
Responses

n = 16
n = 16

n = -8
n = -8

n = 8
n = 8

n = -16
n = -16
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Answer 1

To solve the equation \(-2(4+n)=24\), let's first outline the steps involved:

Step 1: Distribute \(-2\) on the left side of the equation: \[ -2 \cdot 4 - 2 \cdot n = 24 \implies -8 - 2n = 24 \]

Step 2: Add \(8\) to both sides to isolate the term with \(n\): \[ -2n = 24 + 8 \implies -2n = 32 \]

Step 3: Divide both sides by \(-2\) to solve for \(n\): \[ n = \frac{32}{-2} \implies n = -16 \]

Now we can fill in the steps in order:

Step 1: Distribute \(-2\) to get \(-8 - 2n = 24\)
Step 2: Add \(8\) to both sides to get \(-2n = 32\)
Step 3: Divide by \(-2\) to find \(n = -16\)

So the correct answer for \(n\) is: \[ n = -16 \]