Question

How do you solve `-6+ \frac { m } { 7} = - 4`?

Answer 1

`m=14`

Explanation:

equation
`-6+m/7=-4`

calculation
add 6 to both sides `\rArr\cancel(-6)\cancel(\color(red)(+6))+m/7=-4\color(red)(+6)`
multiply both sides by 7 `\rArr\cancel(\color(olive)(7))\timesm/\cancel(7)=2\times(\color(olive)(7))`
simplify multiplication `\rArrm=14`

checking
plug in `\color(indianred)(m=14)`
`-6+\color(indianreD)(14)/7\stackrel{?}{=}-4`
`-6+2\stackrel{?}{=}-4`
`-4=-4`
correct!