Question

If 8q + 2r = 2q + 4, what is r in terms of q ?

Answer 1

remember you can do anything to an equation as long as you do it to both sides
in this question, we want to solve for r

minus 8q both sides

8q-8q+2r=2q-8q+4
0+2r=-6q+4
2r=4-6q
divide both sides by 2
(2r)/2=(4-6q)/2
r(2/2)=(4/2)+(-6q/2)
r(1)=2+(-3q)
r=2-3q

Answer 2

8q+2r=2q+4
Move 8q to the other side
2r= 2q+4+(-8q)
2r= 2q-8q+4
2r= -6q+4
(2r= -6q+4)/2
r=-3q+2
This is the most you can simplify this equation.

Hope this helps!