Question

What is the solution to the equation?

–4q + 8 = –2q – 16

A.
q = –12

B.
q = –4

C.
q = 4

D.
q = 12

Answer 1

@mathivh

Answer 2

@alesia/bailey

Answer 3

@Compassionate @confluxepic

Answer 4

@hartnn

Answer 5

just subtract the like terms for each other?
-4q+8=-2q+6
+4q +4q
-----------
8=2q+6

like so. and do the same thing with the 6 and 8

Answer 6

It will be negative i think.

Answer 7

what 8 and 6?

Answer 8

you would subtract

8=2q+6
-6 -6
-------
2=2q

the answer will not be negative
@TheAsker2002 does this make sense so far? you just subtract/add the like terms from both sides of the equation

Answer 9

No :(

Answer 10

8-6 is 2

Answer 11

oh okay.

So you see -4q and -2q? these are like terms. Therefore, in an equation, you can treat them as like numbers, just don't forget to include the variable

Answer 12

Can you help me with one too? @Jamierox4ev3r

Answer 13

and yes, 8-6 is 2

but to get there, you do this first:
-4q+8=-2q+6
+4q +4q
-----------
8=2q+6
^^^
The reason why i was able to add 4q to both sides is because the terms are similar

Answer 14

–4q + 8 = –2q – 16
okay, so you are trying to isolate q

-4q + 8 = -2q - 16
+2q +2q ------> -4q+2q= -2q
-------------------
-2q + 8 = - 16
-8 - 8 ------> -16-8= -24
-----------------
-2q = - 24

now you have to get q by itself so you do the opposite and divide -2 on both sides

-2q = - 24
----> -2/-2= 1 and -24/ -2 = 12

1q (or just q) = 12
q=12