Question

#6
-5n - 2 = 38
1 point
what is the first step to solve equation #6?
divide both sides by 5
divide both sides by -5
add 2 to both sides
subtract 2 from both sides
1 point
what is the second step to solve equation #6
add 2 to both sides
divide both sides by 5
divide both sides by -5
subtract 2 from both sides
1 point
what is the solution to equation #6?
n = -6
n = -8
n = -10
none of the above

Explanation:

First Question: What is the first step to solve equation #6?

Step1: Analyze the equation structure

The equation is \(-5n - 2 = 38\). To isolate the term with \(n\), we first need to get rid of the constant term \(-2\) on the left side. The inverse operation of subtraction is addition, so we add 2 to both sides.

Step1: After first step (add 2 to both sides)

After adding 2 to both sides, the equation becomes \(-5n = 38 + 2 = 40\). Now, to solve for \(n\), we need to isolate \(n\) by dividing both sides by the coefficient of \(n\), which is \(-5\).

Step1: First step (add 2 to both sides)

Starting with \(-5n - 2 = 38\), add 2 to both sides: \(-5n - 2 + 2 = 38 + 2\), so \(-5n = 40\).

Step2: Second step (divide by -5)

Divide both sides of \(-5n = 40\) by \(-5\): \(\frac{-5n}{-5} = \frac{40}{-5}\), which gives \(n = -8\).

Answer:

C. Add 2 to both sides

Second Question: What is the second step to solve equation #6?