What's the value of n in the equation-1/2 (2n+4) + 6=-9+4 (2n+1)

n=13/7

Step-by-step explanation:

2n+4+6*2=-9*2+8 (2n+1)

2n+4+12=-18+16n+8

16+18=16n-2n+8

34=14n+8

34-8=14n

26=14n

n=13/7

n = 13/7

Step-by-step explanation:

Solve the equation

Step 1: Use distributive property to multiply out the terms with parenthesis

(1/2) (2n) + (1/2) (4) + 6 = - 9 + 4 (2n) + 4 (1)

n + 2 + 6 = 9 + 8n + 4

Step 2: combine like terms ...

n + 8 = 8n - 5

Step 3: Get all "n's" to one side, and all constants on the other and solve

13 = 7n (subtract n from both sides and add 5 to both sides)

13/7 = n (divide both side by 7)