Question

How do you solve `1- 6r = 13- 2r`?

Answer 1

`r = -3`

Explanation:

Step 1) Add `6r` to each side of the equation to begin isolating and solving for `r` and ensuring the equation stays balanced:

`1 - 6r + 6r = 13 - 2r + 6r`

`1 - 0 = 13 + 4r`

`1 = 13 + 4r`

Step 2) Subtract 13 from each side of the equation to further isolate `r` and to continue to keep the equation balanced:

`1 - 13 = 13 - 13 + 4r`

`-12 = 0 + 4r`

`-12 = 4r`

Step 3) Divide each side by `4` to finally solve for `r` while keeping the equation balanced;

`(-12)/4 = (4r)/4`

`-3 = 1r`

`r = -3`