how do you do 5(-2n+4) + 2(n+3)

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

Simplify:  `5(-2n+4) + 2(n + 3)`

First, distribute 5.  Which means to multiply `5* (-2n)`  and `5* 4`

This will make:  `-10n + 20`

Second, distribute 2.  Which means to multiply `2*n`  and `2*3`

This will make: `2n + 6`

Combining the 2 together makes:

`-10n + 20 + 2n + 6` Now combine like terms.

This makes a final answer of: `-8n + 26`

ik9744's profile pic

ik9744 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

There is a lot of possible ways to solve any kind of math, it all has to do with the way a person thinks, and how they react to the way the math problem is laid out. Now that is said here is my answer:

5(-2n+4) + 2(n+3)

To simplify this you would need to learn how to distribute. I'll give you a mini lesson!

Whatever is on the other side of the ( ) You would need to multiply it in.

Ex. 2 (2+2) is actually 4 + 4 = 8.

Here is the tricky part if the there is a negative on the outside or just a negative you do the same

Ex. -3 (6+3) is actually -18 - 9 -27

Ex. 6 - (2 - 4) This one tricks people a lot. You don't multiply in by -6 or 6. You multiply in by - . So it would actually be -2 + 4 = 2.

Now you understand distributing we can get started!

5(-2n+4) + 2(n+3)

First let's distribute both of the set parenthesis.

-10n+20

And do the second one.

2(n+3)

-10n+20+2n + 6

You should get the N by itself not separated.

-8n + 20 + 6

Since we don't know what the variable 'n' is we would need to simplify it to the smallest we can.

We would need to add 20 to 6 making it 26

-8n + 26 would be the answer!

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

 5(-2n+4) + 2(n+3)

The first step is to distribute the numbers outside of the parentheses to those inside:

5(-2n) + 5(4) + 2(n) + 2(3)

multiply:

-10n + 20 + 2n + 6

combine like terms:

-10n + 2n + 20 + 6

-8n + 26

and that's the answer.

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

5 ( -2n + 4 ) + 2 ( n + 3 )

First distribute the 5 and the 2 . 

By distributing the 5 and the 2 , you should get

-10n + 20 + 2n + 6 now combine the likes terms ( -10n with 2n and 20 with 6 )

By combining like terms , you should get

-8n + 26 which is your answer .

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