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Mathematics 17 Online
OpenStudy (anonymous):

5t+3(2t-4)

jimthompson5910 (jim_thompson5910):

what do you get when you distribute 3(2t-4) ?

OpenStudy (anonymous):

6t+-12

jimthompson5910 (jim_thompson5910):

or just 6t - 12, good

jimthompson5910 (jim_thompson5910):

so 5t+3(2t-4) turns into 5t + 6t - 12

jimthompson5910 (jim_thompson5910):

the last step is to combine like terms, which are 5t and 6t add them to get _____

OpenStudy (anonymous):

11t-12

jimthompson5910 (jim_thompson5910):

perfect

jimthompson5910 (jim_thompson5910):

that's your final answer

OpenStudy (anonymous):

15y+4(3-2y)

OpenStudy (anonymous):

15y+12-2y

jimthompson5910 (jim_thompson5910):

you forgot to multiply the outer 4 by the inner term -2y

jimthompson5910 (jim_thompson5910):

when you distribute, the outer term has to multiply to each inner term

OpenStudy (anonymous):

15y+12-8

jimthompson5910 (jim_thompson5910):

and there's a y, so it should be -8y

jimthompson5910 (jim_thompson5910):

4 times -2y = -8y not just -8

OpenStudy (ja1):

Now combine like terms...

OpenStudy (anonymous):

7y+12

jimthompson5910 (jim_thompson5910):

good

OpenStudy (anonymous):

6r-3(r+4)

OpenStudy (ja1):

Same process :)

OpenStudy (anonymous):

6r-3r+12

OpenStudy (ja1):

Remember that the 3 is negative

jimthompson5910 (jim_thompson5910):

you forgot to distribute the minus through

OpenStudy (anonymous):

Have i

OpenStudy (anonymous):

Where

OpenStudy (ja1):

6r-3 This is the same as 6r + (-3) so the 3 is negative :)

jimthompson5910 (jim_thompson5910):

-3(r+4) is really -3 times r + (-3) times 4

OpenStudy (anonymous):

I have

OpenStudy (anonymous):

So it's then 6r-3r-12

OpenStudy (ja1):

Yupp :)

OpenStudy (anonymous):

Thanks

OpenStudy (ja1):

No prob, so now combine like terms.

OpenStudy (anonymous):

3r-12

OpenStudy (anonymous):

This one is hard

OpenStudy (ja1):

Exactly :D btw Welcome to OpenStudy, I see you have the feel of the website and I hope you have a good time on here. Also when you have a chance please read this: http://openstudy.com/code-of-conduct Happy OpenStudying :) ~ JA1

OpenStudy (anonymous):

5r-3(2-4r)

OpenStudy (anonymous):

5r-6-12r

OpenStudy (anonymous):

Does that equal -7+12

OpenStudy (ja1):

Actually no. When you multiply two negatives you get a positive :)

OpenStudy (ja1):

So what is -3 * -4r

OpenStudy (anonymous):

Cn you go thought step by step please

OpenStudy (ja1):

Okay so, \[5r-3(2-4r)\]

OpenStudy (ja1):

You need to distribute it, so -3 * 2 = -6 but -3 * -4r = 12r

OpenStudy (ja1):

Remember that 2−4r Can be written as: 2 + (-4r)

OpenStudy (ja1):

So the 4 is negative, and when you multiply two negatives you get a positive so -3 * -4 = 12

OpenStudy (anonymous):

17r-6

OpenStudy (ja1):

Exactly :D

OpenStudy (anonymous):

Thank you bye

OpenStudy (ja1):

Bye :)

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