Question

How do you solve `-8( - 2- 5n ) - ( - 6n + 2) = 14`?

Answer 1

`n=0`

Explanation:

1) Multiply into the brackets.
`-8(-2-5n)-(-6n+2)=16+40n+6n-2=14`

2) Combine like terms
`16+40n+6n-2=46n+14=14`

Solve using opposite operations
`46n+14=14`

`46n+14-color(red)(14)=14-color(red)(14)`

`46n=0`

`(46n)/color(red)(46)=0/color(red)(46)`

`n=0`

Answer 2

`n=0`

Explanation:

`-8(-2-5n)-(-6n+2)=14`

`16+40n+6n-2=14`

Combine like-terms

`46n+14=14`

`46n=0`

`n=0/46=0`

Answer 3

`n=0`

Explanation:

`"distribute the brackets on left side of equation"`

`16+40n+6n-2=14`

`rArr46n+14=14`

`"subtract 14 from both sides"`

`46ncancel(+14)cancel(-14)=14-14`

`rArr46n=0rArrn=0`

`color(blue)"As a check"`

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

`-8(-2)-(+2)=16-2=14`

`rArrn=0" is the solution"`