(2n+1)+(2n+3)+(2n+5)+(2n+7)=-80

Solution for (2n+1)+(2n+3)+(2n+5)+(2n+7)=-80 equation:

Simplifying
(2n + 1) + (2n + 3) + (2n + 5) + (2n + 7) = -80

Reorder the terms:
(1 + 2n) + (2n + 3) + (2n + 5) + (2n + 7) = -80

Remove parenthesis around (1 + 2n)
1 + 2n + (2n + 3) + (2n + 5) + (2n + 7) = -80

Reorder the terms:
1 + 2n + (3 + 2n) + (2n + 5) + (2n + 7) = -80

Remove parenthesis around (3 + 2n)
1 + 2n + 3 + 2n + (2n + 5) + (2n + 7) = -80

Reorder the terms:
1 + 2n + 3 + 2n + (5 + 2n) + (2n + 7) = -80

Remove parenthesis around (5 + 2n)
1 + 2n + 3 + 2n + 5 + 2n + (2n + 7) = -80

Reorder the terms:
1 + 2n + 3 + 2n + 5 + 2n + (7 + 2n) = -80

Remove parenthesis around (7 + 2n)
1 + 2n + 3 + 2n + 5 + 2n + 7 + 2n = -80

Reorder the terms:
1 + 3 + 5 + 7 + 2n + 2n + 2n + 2n = -80

Combine like terms: 1 + 3 = 4
4 + 5 + 7 + 2n + 2n + 2n + 2n = -80

Combine like terms: 4 + 5 = 9
9 + 7 + 2n + 2n + 2n + 2n = -80

Combine like terms: 9 + 7 = 16
16 + 2n + 2n + 2n + 2n = -80

Combine like terms: 2n + 2n = 4n
16 + 4n + 2n + 2n = -80

Combine like terms: 4n + 2n = 6n
16 + 6n + 2n = -80

Combine like terms: 6n + 2n = 8n
16 + 8n = -80

Solving
16 + 8n = -80

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + 8n = -80 + -16

Combine like terms: 16 + -16 = 0
0 + 8n = -80 + -16
8n = -80 + -16

Combine like terms: -80 + -16 = -96
8n = -96

Divide each side by '8'.
n = -12

Simplifying
n = -12