Question

Consider this equation:

−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:

Answer 1

To solve the equation \(-2(4+n)=24\), we can follow these steps:

Step 1: Distribute \(-2\) to both terms inside the parentheses:
\(-2 \cdot 4 - 2 \cdot n = 24\)
This simplifies to:
\(-8 - 2n = 24\)

Step 2: Add \(8\) to both sides of the equation to isolate the term with \(n\):
\(-2n = 24 + 8\)
This simplifies to:
\(-2n = 32\)

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

So the steps in order are:

Step 1: Distribute \(-2\)
Step 2: Add \(8\) to both sides
Step 3: Divide by \(-2\)