Question

Solve the equation below. Show all steps for full points.

7r + 13 = 7 + 6r

Answer 1

`\boxed{r=-6}`

Explanation:

`All~you~have~to~do~is~collect ~the ~constants~ on ~one ~side ~of ~the~ =~ and`
`the~variables~(including~terms~with~r)~ on ~the~ other~ side.~ Then,`
`manipulate~it,~ so~ that~ you~ only~ have~ a ~single ~r~on~ its~ own~ on~ one~ side`
`and ~everything~ else~ on~ the ~other.`

Applying the method :

→
`Subtract ~6r~from~ both ~sides:`

`6r-6r+7~~=~~13+7r-6r`

`0+7~~=~~13+r`

→
`Subtract~13~from~both~sides:`

`7-13~~=~~13-13+r`

`-6~~=~~0+r`

`r=-6`

The short cut approach for add or subtract is:

`Move~ something~ to~ the~ other ~side ~of~ the~ ``=`

Answer 2

r = - 6

Explanation:

Given

7r + 13 = 7 + 6r ( subtract 6r from both sides )

r + 13 = 7 ( subtract 13 from both sides )

r = - 6