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5/(8n) + 110 = 1/(8n) + 130

Note that n cannot be 0, otherwise you'd be dividing by 0.

First, I'll multiply everything by 8n (the LCD):

5 + 880n = 1 + 1040n
-160n = -4
n = 1/40

5/8n + 110 = 1/8 + 130
5/8n - 1/8n = 130 - 110
4/8n = 20
1/2n = 20
n = 40

subtract 1/8n from both sides, and 110 from both sides to get

(5/8)n - (1/8)n = 20

combine like terms

(1/2)n = 20

multiply by 2

n = 40.

5/(8n) + 110 = 1/(8n) + 130
5/(8n) - 1/(8n) = -110 + 130
4/(8n) = 20
1/(2n) = 20
2n = 1/20
n = (1/20)/2
n = (1/20)(1/2)
n = 1/40

5/8n+110=1/8n+130 collect similar variables to the same sides then
substract 1/8n from both sides.
5/8n-1/8n+110=1/8n-1/8n+130 then you get
1/2n+110=130 substract 110 from both sides and you will get
1/2n=20 and finally multiply both sides by 2/1
n=1/40.

5/8n+110=1/8n+130
take lcm
we get
(5+880n)/8n=(1+1040n)/8n
8n gets cancelled
we get 5+880n=1+1040n
4=160n
n=1/40

5 / (8n) + 110 = 1 / (8n) + 130
4 / (8n) = 20
1 / (2n) = 20
40n = 1
n = 1/40

if you perhaps meant 5 / (8n + 110), you should have used parentheses that way.

5/8n+110=1/8n+130

multiply hole equation from 8n,

5+110*8n=1+130*8n
5-1=1040n-880n
4=160n
n=4/160
n=1/40
n=0.025

n = 0.025

I think this is it:

5/8n + 110 = 1/8n + 130
subtract 1/8 from both sides.
4/8n + 110 = 130 (may need to reduce the 4/8
4/8n = 20
multiply both sides by 8 to rid of the denominator.
4n = 160
divide both sides by 4
n = 40

To check: 5/8 (40) + 110 = 1/8 (40) +130
25 + 110 = 5 +130
135 = 135