Question

#8
2n - 8 = 44
what is the first step to solve equation #8?
1 point
add 8 to both sides
divide both sides by 2
subtract 2 from both sides
subtract 8 from both sides
what is the second step to solve equation #8?
1 point
add 8 to both sides
divide both sides by 2
subtract both sides by 2
subtract 8 from both sides
what is the solution to equation #8?
1 point
n = 20
n = 24
n = 26
none of the above

Explanation:

First Sub - Question (First step)

To solve the equation \(2n - 8=44\), we use the addition property of equality. The goal in the first step is to isolate the term with the variable. The term with the variable is \(2n\), and we have \(- 8\) attached to it. To get rid of the \(-8\) on the left - hand side, we add 8 to both sides of the equation (because adding 8 to \(-8\) will result in 0, which isolates the \(2n\) term). Dividing by 2 first would make the equation more complicated as we still have the \(-8\) term. Subtracting 2 or subtracting 8 would not help in isolating the variable term.

After the first step (adding 8 to both sides), we get \(2n-8 + 8=44 + 8\), which simplifies to \(2n=52\). Now, to solve for \(n\), we need to get rid of the coefficient 2 in front of \(n\). Using the division property of equality, we divide both sides of the equation by 2. Adding 8 again is not necessary, subtracting 2 or subtracting 8 would not help in solving for \(n\).

Step 1: Add 8 to both sides

We start with the equation \(2n-8 = 44\). Add 8 to both sides:
\(2n-8 + 8=44 + 8\)
Simplifying both sides, we get \(2n=52\).

Step 2: Divide both sides by 2

Now, divide both sides of the equation \(2n = 52\) by 2:
\(\frac{2n}{2}=\frac{52}{2}\)
Simplifying, we find that \(n = 26\).

Answer:

A. Add 8 to both sides

Second Sub - Question (Second step)