Respuesta :

Mult all 4 terms by 2 to elilminate numerical fractions:

n-4 - 3(2) = 3(2) - 4n - 6

Group like terms together:     -4 - 6 = 6 - 4n - 6 - n, or   -4 - 6 = 6 - 5n - 6

Simplifying, -10 = -5n, and thus n = 2  (answer)

Answer:

n=2

Step-by-step explanation:

The given equation is

[tex]\frac{1}{2}(n-4)-3=3-(2n+3)[/tex]

Distribute 1/2 and minus sign over the parenthesis

[tex]\frac{1}{2}n-2-3=3-2n-3[/tex]

Group the like terms

[tex]\frac{1}{2}n+2n=3-3+2+3[/tex]

Combine the like terms

[tex]\frac{5}{2}n=5[/tex]

Multiply both sides by 2/5

[tex]n=2[/tex]

The value of n = 2