(2n+2)+(2n+4)+(2n+6)+(2n+8)=-52

Solution for (2n+2)+(2n+4)+(2n+6)+(2n+8)=-52 equation:

Simplifying
(2n + 2) + (2n + 4) + (2n + 6) + (2n + 8) = -52

Reorder the terms:
(2 + 2n) + (2n + 4) + (2n + 6) + (2n + 8) = -52

Remove parenthesis around (2 + 2n)
2 + 2n + (2n + 4) + (2n + 6) + (2n + 8) = -52

Reorder the terms:
2 + 2n + (4 + 2n) + (2n + 6) + (2n + 8) = -52

Remove parenthesis around (4 + 2n)
2 + 2n + 4 + 2n + (2n + 6) + (2n + 8) = -52

Reorder the terms:
2 + 2n + 4 + 2n + (6 + 2n) + (2n + 8) = -52

Remove parenthesis around (6 + 2n)
2 + 2n + 4 + 2n + 6 + 2n + (2n + 8) = -52

Reorder the terms:
2 + 2n + 4 + 2n + 6 + 2n + (8 + 2n) = -52

Remove parenthesis around (8 + 2n)
2 + 2n + 4 + 2n + 6 + 2n + 8 + 2n = -52

Reorder the terms:
2 + 4 + 6 + 8 + 2n + 2n + 2n + 2n = -52

Combine like terms: 2 + 4 = 6
6 + 6 + 8 + 2n + 2n + 2n + 2n = -52

Combine like terms: 6 + 6 = 12
12 + 8 + 2n + 2n + 2n + 2n = -52

Combine like terms: 12 + 8 = 20
20 + 2n + 2n + 2n + 2n = -52

Combine like terms: 2n + 2n = 4n
20 + 4n + 2n + 2n = -52

Combine like terms: 4n + 2n = 6n
20 + 6n + 2n = -52

Combine like terms: 6n + 2n = 8n
20 + 8n = -52

Solving
20 + 8n = -52

Solving for variable 'n'.

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

Add '-20' to each side of the equation.
20 + -20 + 8n = -52 + -20

Combine like terms: 20 + -20 = 0
0 + 8n = -52 + -20
8n = -52 + -20

Combine like terms: -52 + -20 = -72
8n = -72

Divide each side by '8'.
n = -9

Simplifying
n = -9