n+(n+2)+(n+4)+(n+6)=-142

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Solution for n+(n+2)+(n+4)+(n+6)=-142 equation:


Simplifying
n + (n + 2) + (n + 4) + (n + 6) = -142

Reorder the terms:
n + (2 + n) + (n + 4) + (n + 6) = -142

Remove parenthesis around (2 + n)
n + 2 + n + (n + 4) + (n + 6) = -142

Reorder the terms:
n + 2 + n + (4 + n) + (n + 6) = -142

Remove parenthesis around (4 + n)
n + 2 + n + 4 + n + (n + 6) = -142

Reorder the terms:
n + 2 + n + 4 + n + (6 + n) = -142

Remove parenthesis around (6 + n)
n + 2 + n + 4 + n + 6 + n = -142

Reorder the terms:
2 + 4 + 6 + n + n + n + n = -142

Combine like terms: 2 + 4 = 6
6 + 6 + n + n + n + n = -142

Combine like terms: 6 + 6 = 12
12 + n + n + n + n = -142

Combine like terms: n + n = 2n
12 + 2n + n + n = -142

Combine like terms: 2n + n = 3n
12 + 3n + n = -142

Combine like terms: 3n + n = 4n
12 + 4n = -142

Solving
12 + 4n = -142

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + 4n = -142 + -12

Combine like terms: 12 + -12 = 0
0 + 4n = -142 + -12
4n = -142 + -12

Combine like terms: -142 + -12 = -154
4n = -154

Divide each side by '4'.
n = -38.5

Simplifying
n = -38.5

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