Answer:
[tex] \huge{ \bold{ \boxed{ \tt{n = 2}}}}[/tex]
Step-by-step explanation:
[tex] \text{ - 4n + 14 = - 2(n - 5)}[/tex]
Distribute -2 through the parentheses
[tex] \text{↦ - 4n + 14 = - 2n + 10}[/tex]
Move 2n to right hand side and change it's sign
[tex] \text{↦ \: - 4n + 2n + 14 = 10}[/tex]
Move 14 to right hand side and change it's sign
[tex] \text{↦ \: - 4n + 2n = 10 - 14}[/tex]
Combine like terms
[tex] \text{↦ \: - 2n = 10 - 14}[/tex]
Remember : The negative and positive integers are always subtracted but posses the sign of bigger integer.
[tex] \text{↦ \: - 2n = - 4}[/tex]
Divide both sides by -2
[tex] \rm{↦ \: \frac{ - 2n}{ - 2} = \frac{ - 4}{ - 2}} [/tex]
[tex] \text{↦ \: n = 2}[/tex]
The value of n is 2 .
Hope I helped!
Best regards! :D
~TheAnimeGirl
