Question

When you simplify each side of the equation
5n – 2(3 – n) = 4(2n – 3), you will get the equivalent equation
7n – 6 = 8n - 12.

True
False

Answer 1

lets see

5n - 2(3-n) = 4(2n - 3)
5n -6 + 2n = 8n - 12

7n - 6 = 8n - 12

true! :)

Answer 2

@johnweldon1993 Can you help me with one more please?

After isolating the absolute value in the equation -2|5n + 10| = -30, you would see that there is “no solution” for this problem.

True
False

Answer 3

Oops, sorry I had to double click!

Answer 4

well lets check this one now

-2|5n + 10| = -30

as it says you want to isolate the absolute value right? so how do we get it by itself?

***hint...what do we do with that 2 on the outside?

Answer 5

-2* sorry

Answer 6

we add it to both sides?

Answer 7

notice that it is being multiplied to the absolute value.....so the opposite of multiply is?

Answer 8

divide

Answer 9

true so it make -2|5n+10|=-30
|5n+10|=15

Answer 10

correct....so we would divide both sides by -2

Answer 11

and as @nader1 has shown
that will leave you with

|5n + 10| = 15

this can be split into 2 things right?

5n + 10 = 15
and
5n + 10 = -15

so lets check it

5n + 10 = 15
-10 -10
5n = 5
n = 1


5n + 10 = -15
-10 -10

5n = -25

n = -5

there are solutions

Answer 12

now you can simplify that into n=1 or n=-5

Answer 13

yea true !

Answer 14

Wow, that was a fantastic explanation @johnweldon1993! Thank you so much :)
And thank you as well @nader1!

Answer 15

anytime :) you're very welcome!

Answer 16

he is faster than me ^^ but anytime :)

Answer 17

i at least enjoy it :)

Answer 18

Haha, yea. Have a good night!

Answer 19

lol....I enjoy it as well :)

Answer 20

hehe we are waiting for next time :D