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

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


Simplifying
n + (n + 2) + (n + 4) + (n + 6) + (n + 8) = 0

Reorder the terms:
n + (2 + n) + (n + 4) + (n + 6) + (n + 8) = 0

Remove parenthesis around (2 + n)
n + 2 + n + (n + 4) + (n + 6) + (n + 8) = 0

Reorder the terms:
n + 2 + n + (4 + n) + (n + 6) + (n + 8) = 0

Remove parenthesis around (4 + n)
n + 2 + n + 4 + n + (n + 6) + (n + 8) = 0

Reorder the terms:
n + 2 + n + 4 + n + (6 + n) + (n + 8) = 0

Remove parenthesis around (6 + n)
n + 2 + n + 4 + n + 6 + n + (n + 8) = 0

Reorder the terms:
n + 2 + n + 4 + n + 6 + n + (8 + n) = 0

Remove parenthesis around (8 + n)
n + 2 + n + 4 + n + 6 + n + 8 + n = 0

Reorder the terms:
2 + 4 + 6 + 8 + n + n + n + n + n = 0

Combine like terms: 2 + 4 = 6
6 + 6 + 8 + n + n + n + n + n = 0

Combine like terms: 6 + 6 = 12
12 + 8 + n + n + n + n + n = 0

Combine like terms: 12 + 8 = 20
20 + n + n + n + n + n = 0

Combine like terms: n + n = 2n
20 + 2n + n + n + n = 0

Combine like terms: 2n + n = 3n
20 + 3n + n + n = 0

Combine like terms: 3n + n = 4n
20 + 4n + n = 0

Combine like terms: 4n + n = 5n
20 + 5n = 0

Solving
20 + 5n = 0

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 + 5n = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 5n = 0 + -20
5n = 0 + -20

Combine like terms: 0 + -20 = -20
5n = -20

Divide each side by '5'.
n = -4

Simplifying
n = -4

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