Question

2/3 (n - 6) = 5n - 43

please help me i cant get the right answer you will get 30 points please help

Answer 1

`(2)/(3) (n-6)=5n-43`

Distribute:

`((2)/(3) )(n)+((2)/(3) )(-6)=5n-43`

`(2)/(3) n-4=5n-43`

Subtract 5n from both sides:

`(2)/(3) n-4-5n=5n-43-5n`

`-(13)/(3) n-4=-43`

Add 4 to both sides:

`-(13)/(3) n-4+4=-43+4`

`-(13)/(3) n=-39`

Multiply both sides by -3/13:

`-(3)/(13) *(-(13)/(3) n)=-(3)/(13) *(-39)`

`\fbox{n = 9}`