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Fittoniya [83]
3 years ago
12

5n + 34 = -2 ( 1 - 7n)this is due by midnight.NO LINKS PLEASE!

Mathematics
2 answers:
kodGreya [7K]3 years ago
7 0

Answer :

n = 4

Step-by-step explanation:

5n + 34 = -2(1-7n)

first distribute

5n + 34 = -2(1) -2(-7n)

5n + 34 = -2+14n

-5n

+2

then get all of n to the same side

36 = 9n

isolate the variable

36/9 = 9n/9

4 = n

Valentin [98]3 years ago
6 0

Answer:

n=4

Step-by-step explanation:

Hi there!

We are given the following equation:

5n + 34 = -2(1-7n)

And we want to solve it for n

To do that, we want to isolate n (also written as 1n) on on side by itself.

In this equation, on the right side, we have -2(1-7n), which is in the way. We'll need to open it up.

In order to open up the parenthesis, we'll need to do the distributive property, where we will multiply -2 to both 1 and -7n, then add them together.

-2(1-7n)=-2+14n

That's for the right side.

The equation now looks like this:

5n + 34 = -2 + 14n

Remember that we will be trying to isolate n on one side

Subtract 5n from both sides to remove it from the left side:

5n + 34 = -2 + 14n

-5n                  -5n

__________________

34 = -2 + 9n

Add 2 to both sides to remove it from the right side:

34 = -2 + 9n

+2    +2

______________

36 = 9n

Now, we have numbers on one side and variables on the other, but we're not done yet, since remember; we want just n (or 1n), not 9n. We need to divide both sides by a number that will result in 1n

If we divide a number by itself, then the result is 1

So we should divide both sides by 9

4 = 1n, also written as 4=n , or n=4

Hope this helps!

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