Respuesta :

Explaination :

The given equation,

  • [tex] \boxed{\sf{5n \: - 6(n - 2) \: = \: 19}} \: \bigstar[/tex]

Lets start solving it..!!

★ Multiplying -6 by (n -2),

[tex] \implies \: \sf{5n \: - 6 \times (n - 2) \: = \: 19} [/tex]

[tex] \implies \: \sf{5n \: - 6n + 12 \: = \: 19} [/tex]

★ Subtracting 5n from 6n,

[tex]\implies \: \sf{ - n + 12 \: = \: 19} [/tex]

★ Transposing 12 from L.H.S. to R.H.S. it would be in negative,

[tex]\implies \: \sf{ - n \: = \: 19 - 12} [/tex]

★ On subtracting 12 from 19 we gets,

[tex] \implies \: \sf{ - n \: = \: 7} [/tex]

★ Now,

[tex] \implies \: \red{\bf{ n \: = \: - 7} }[/tex]

Therefore,

  • Value of n is -7