n+(n+1)+(n+2)+(n+3)+(n+4)=12

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Solution for n+(n+1)+(n+2)+(n+3)+(n+4)=12 equation:


Simplifying
n + (n + 1) + (n + 2) + (n + 3) + (n + 4) = 12

Reorder the terms:
n + (1 + n) + (n + 2) + (n + 3) + (n + 4) = 12

Remove parenthesis around (1 + n)
n + 1 + n + (n + 2) + (n + 3) + (n + 4) = 12

Reorder the terms:
n + 1 + n + (2 + n) + (n + 3) + (n + 4) = 12

Remove parenthesis around (2 + n)
n + 1 + n + 2 + n + (n + 3) + (n + 4) = 12

Reorder the terms:
n + 1 + n + 2 + n + (3 + n) + (n + 4) = 12

Remove parenthesis around (3 + n)
n + 1 + n + 2 + n + 3 + n + (n + 4) = 12

Reorder the terms:
n + 1 + n + 2 + n + 3 + n + (4 + n) = 12

Remove parenthesis around (4 + n)
n + 1 + n + 2 + n + 3 + n + 4 + n = 12

Reorder the terms:
1 + 2 + 3 + 4 + n + n + n + n + n = 12

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + n + n + n + n + n = 12

Combine like terms: 3 + 3 = 6
6 + 4 + n + n + n + n + n = 12

Combine like terms: 6 + 4 = 10
10 + n + n + n + n + n = 12

Combine like terms: n + n = 2n
10 + 2n + n + n + n = 12

Combine like terms: 2n + n = 3n
10 + 3n + n + n = 12

Combine like terms: 3n + n = 4n
10 + 4n + n = 12

Combine like terms: 4n + n = 5n
10 + 5n = 12

Solving
10 + 5n = 12

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 5n = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 5n = 12 + -10
5n = 12 + -10

Combine like terms: 12 + -10 = 2
5n = 2

Divide each side by '5'.
n = 0.4

Simplifying
n = 0.4

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