Question

#4
-6n + 3 = 45
what is the first step to solve equation #4?
1 point
add 3 to both sides
subtract 3 from both sides
divide both sides by -6
multiply both sides by -6
what is the second step to solve equation #4
1 point
subtract 3 from both sides
add 3 to both sides
divide both sides by -6
add -6 to both sides
other.
what is the solution to equation #4?
1 point
n = 7
n = -7
n = 6
none of the above

Explanation:

First Sub - Question (First Step)

To solve the linear equation \(-6n + 3=45\), we follow the order of operations in reverse (undoing operations). The equation has addition of 3 and multiplication by - 6. We first want to isolate the term with the variable. So, we need to get rid of the +3 on the left - hand side. To do this, we use the inverse operation of addition, which is subtraction. So we subtract 3 from both sides.

After the first step (subtracting 3 from both sides), the equation becomes \(-6n=45 - 3=42\). Now, to solve for \(n\), we need to get rid of the coefficient of \(n\) which is - 6. The inverse operation of multiplication is division. So we divide both sides by - 6.

Step 1: Subtract 3 from both sides

Starting with the equation \(-6n + 3 = 45\), we subtract 3 from both sides.
\(-6n+3 - 3=45 - 3\)
Simplifying both sides, we get \(-6n = 42\).

Step 2: Divide both sides by - 6

Now, we divide both sides of the equation \(-6n = 42\) by - 6.
\(\frac{-6n}{-6}=\frac{42}{-6}\)
Simplifying, we find that \(n=-7\).

Answer:

B. Subtract 3 from both sides

Second Sub - Question (Second Step)