1/4(2n−8)+1/3n=1/2(n+6)

N=15

Step-by-step explanation:

Simplify 1/4 (2n-8)

2n-8/4+1/4n=1/2(n+6)

Factor out the common term 2.

2(n-4)/4+1/3n=1/2(n+6)

Simplify  2(n-4)/4 to n-4/2

n-4/2+n/3=1/2(n+6)

Simplify  1/3n to n/3

n-4/2+n/3=1/2(n+6)

Simplify 1/2(n+6) to n+6/2

n-4/2+n/3=n+6/2

Multiply both sides by 6 (the LCM of 2, 3,).

3(n−4)+2n=3(n+6)

7 Expand.

3n−12+2n=3n+18

Simplify  3n-12+2n to  5n-12

5n−12=3n+18

Add 12 to both sides.

5n=3n+18+12

Simplify  3n+18+12  to  3n+30

5n=3n+30

Subtract 3n from both sides.

5n-3n=30

Simplify  5n-3n to 2n.

2n=30

Divide both sides by 22

n= 30/2

Simplify 30/2 to 15.

n=15

n=15

Brainliest

n = 15

Explanation :

1/4(2n-8) + 1/3n = 1/2(n+6)                 Distribute

1/2n -2  + 1/3n = 1/2(n+6)                    Combine like terms

5/6n -2 = 1/2(n+6)                               Distribute

5/6n -2 = 1/2n +3                                 Pass 1/2n  to the other side

5/6n - 1/2n -2 = 3                                Combine like terms

1/3n  -2 = 3                                            Pass -2 to the other side

1/3n = 3+2                                           Combine like terms

1/3n = 5                                                 Divide both sides by 1/3

n = 15                                                     and then you will get your answer .

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