Question

-13=5(1+4m)-2m

Answer 1

-13=5(1+4m)-2m


-13=5+20m-2m


-13=5+18m


-13-5=18m


-18=18m


-18/18=m


-1=m


m = -1

Answer 2

-13 = 5 + 20m - 2m

-13-5 = 20m -2m

-18 = 18m
m = -1

Answer 3

o i thought you couldnt multiply 5 by 4m because the other doesnt have a variable

Answer 4

you can't add them, but you can and must multiply them

Answer 5

to give a concrete example, if you have 5 + 4 apples, you can't do much, but if you have 5 x 4 apples, you have 20 apples

Answer 6

5(1+4m) literally means: (1+4m) + (1+4m) + (1+4m) + (1+4m) + (1+4m)

Answer 7

but distribution is a shortcut

Answer 8

much in the same way multiplication is a shortcut for repeated addition

Answer 9

jim thtas 25m

Answer 10

what is 25m?

Answer 11

it's 20m + 5. In each case you you add the ones and 4ms separately

Answer 12

so when you add that wont you get 25

Answer 13

no, 5+20m is not 25m

Answer 14

you can't add 5 and 20m, that's as simplified as it gets.

Answer 15

you can multiply terms with different variables, but not add them

Answer 16

ooo thank you so 4(-x+4)=12 do you multiply 4by -x and 4by4

Answer 17

yes, so you'll get -4x+16 = 12

Answer 18

is that the final answer 12

Answer 19

no, it's what -4x+16 is equal to


the answer is what x is equal to

Answer 20

oo is it 4 or -4

Answer 21

no

Answer 22

neither one

Answer 23

so if you regroup the terms, you get
-4x +16 = 12
-4x = 12-16
-4x = -4
x=1

Answer 24

oo ok so 8=8v-4(V+8) Do you distribute the 4 to v and 8

Answer 25

Yes, so 8=8v-4(v+8) becomes 8=8v-4v-32

Answer 26

you distribute -4, not 4

Answer 27

good point, don't forget that negative

Answer 28

ok you subtracted 32 because you have to do inverse operations

Answer 29

I'm not sure what you mean by doing inverse operations, but you substract 32 because you are multiplying v and 8 by -4

Answer 30

no, -4 times 8 is -32

Answer 31

yeah thats right so what about -2=-(n-8)

Answer 32

so v becomes -4v and 8 becomes -32

Answer 33

-(n-8) is the same as -1(n-8) and that distributes to...


-1(n-8) = -1*n + (-1)*(-8) = -n + 8


So -(n-8) distributes to -n + 8

Answer 34

is thaat the answer

Answer 35

no, that just means that -2=-(n-8) becomes -2=-n+8


the answer will be in the form n = ....

Answer 36

yeah thats where i get confused because i dont know what to do

Answer 37

bring all the variables to one side and the terms without variables to the other

Answer 38

so bring -8 to -2

Answer 39

-2=-(n-8)



-2=-n+8


-2-8 = -n


-10 = -n


-n = -10


n = 10

Answer 40

yes

Answer 41

ok i just need to pratice this a little more how would solve a-10=-4
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3

Answer 42

the 3 is under the a-10?

Answer 43

yes

Answer 44

\[\Large \frac{a-10}{3}=-4\]


\[\Large a-10=-4*3\]


\[\Large a-10=-12\]


\[\Large a=-12+10\]


\[\Large a=-2\]