n+(n+2)+(n+4)+(n+6)=123+n+2

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Solution for n+(n+2)+(n+4)+(n+6)=123+n+2 equation:


Simplifying
n + (n + 2) + (n + 4) + (n + 6) = 123 + n + 2

Reorder the terms:
n + (2 + n) + (n + 4) + (n + 6) = 123 + n + 2

Remove parenthesis around (2 + n)
n + 2 + n + (n + 4) + (n + 6) = 123 + n + 2

Reorder the terms:
n + 2 + n + (4 + n) + (n + 6) = 123 + n + 2

Remove parenthesis around (4 + n)
n + 2 + n + 4 + n + (n + 6) = 123 + n + 2

Reorder the terms:
n + 2 + n + 4 + n + (6 + n) = 123 + n + 2

Remove parenthesis around (6 + n)
n + 2 + n + 4 + n + 6 + n = 123 + n + 2

Reorder the terms:
2 + 4 + 6 + n + n + n + n = 123 + n + 2

Combine like terms: 2 + 4 = 6
6 + 6 + n + n + n + n = 123 + n + 2

Combine like terms: 6 + 6 = 12
12 + n + n + n + n = 123 + n + 2

Combine like terms: n + n = 2n
12 + 2n + n + n = 123 + n + 2

Combine like terms: 2n + n = 3n
12 + 3n + n = 123 + n + 2

Combine like terms: 3n + n = 4n
12 + 4n = 123 + n + 2

Reorder the terms:
12 + 4n = 123 + 2 + n

Combine like terms: 123 + 2 = 125
12 + 4n = 125 + n

Solving
12 + 4n = 125 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
12 + 4n + -1n = 125 + n + -1n

Combine like terms: 4n + -1n = 3n
12 + 3n = 125 + n + -1n

Combine like terms: n + -1n = 0
12 + 3n = 125 + 0
12 + 3n = 125

Add '-12' to each side of the equation.
12 + -12 + 3n = 125 + -12

Combine like terms: 12 + -12 = 0
0 + 3n = 125 + -12
3n = 125 + -12

Combine like terms: 125 + -12 = 113
3n = 113

Divide each side by '3'.
n = 37.66666667

Simplifying
n = 37.66666667

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