Question

What is the value of n in the equation 3n + 2(n + 2) = 9n + 12?

−4
−2
2
4

Answer 1

are those choices?

Answer 2

have you tried solving it @Suspect ?

Answer 3

So the original equation is 3n + 2(n+2) = 9n + 12

So the first step is to distribute the 2 in 2(n+2). So that would be 2n +4.
The equation would then look like this : 3n + 2n + 4 = 9n +12.
So then combining the variable n on the left side of the equation. That would give us 5n.
The equation would then look like this : 5n + 4 = 9n + 12.
The goal is to get all of the variables on one side, with the constants on the other. So, personally, I would move the 5n and the 12 to the opposite side of the equal sign.
That would then make the equation look like this: -12 + 4 = 9n - 5n.
The positive and negative signs change when the numbers/variables change sides on the equations, so that's why the 12 now has a negative sign in front of it. Same with the 5n.
Now, we just have to combine the constants and the variables.
That would make the equation look like this: -8 = 4n.
Then, the goal is to get the variable alone, so that would mean dividing the 4 away from the n. When we do that, both sides of the equation must be divided by the same thing, so the -8 would be divided by the 4 also.
The equation would look like this: -2 = n.
So, the answer to the equation solving for n, would be -2. The second choice of the choices, which I am assuming is choice B.

Answer 4

Does that help? @Suspect