6r+7=13+7r
Move 7r to the other side. Sign changes from +7r to -7r.
6r-7r+7=13+7r-7r
6r-7r+7=13
-r+7=13
Move +r to the other side. Sign changes from +7 to -7.
-r+7-7=13-7
-r=6
Multiply by -1 to get positive and for 6
-r(-1)=6(-1)
r=-6
Answer: r=-6
[tex]\large\boxed{r=-6}[/tex]
In this question, we would be solving for r.
What this means is that we need to figure out what r is.
We would be using this equation:
[tex]6r+7=13+7r[/tex]
We will get the r variables to one side and solve from there.
Solve:
[tex]6r+7=13+7r\\\\\text{Subtract 7r to both sides}\\\\-r+7=13\\\\\text{Subtract 7 on both sides}\\\\-r=6\\\\\text{Divide by -1, since the variable r can't be a negative}\\\\r=-6[/tex]
When you're done solving, you should get -6.
This means that r = -6
