(n+1)+(n+2)+(n+3)+(n+4)=264

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Solution for (n+1)+(n+2)+(n+3)+(n+4)=264 equation:


Simplifying
(n + 1) + (n + 2) + (n + 3) + (n + 4) = 264

Reorder the terms:
(1 + n) + (n + 2) + (n + 3) + (n + 4) = 264

Remove parenthesis around (1 + n)
1 + n + (n + 2) + (n + 3) + (n + 4) = 264

Reorder the terms:
1 + n + (2 + n) + (n + 3) + (n + 4) = 264

Remove parenthesis around (2 + n)
1 + n + 2 + n + (n + 3) + (n + 4) = 264

Reorder the terms:
1 + n + 2 + n + (3 + n) + (n + 4) = 264

Remove parenthesis around (3 + n)
1 + n + 2 + n + 3 + n + (n + 4) = 264

Reorder the terms:
1 + n + 2 + n + 3 + n + (4 + n) = 264

Remove parenthesis around (4 + n)
1 + n + 2 + n + 3 + n + 4 + n = 264

Reorder the terms:
1 + 2 + 3 + 4 + n + n + n + n = 264

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + n + n + n + n = 264

Combine like terms: 3 + 3 = 6
6 + 4 + n + n + n + n = 264

Combine like terms: 6 + 4 = 10
10 + n + n + n + n = 264

Combine like terms: n + n = 2n
10 + 2n + n + n = 264

Combine like terms: 2n + n = 3n
10 + 3n + n = 264

Combine like terms: 3n + n = 4n
10 + 4n = 264

Solving
10 + 4n = 264

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 + 4n = 264 + -10

Combine like terms: 10 + -10 = 0
0 + 4n = 264 + -10
4n = 264 + -10

Combine like terms: 264 + -10 = 254
4n = 254

Divide each side by '4'.
n = 63.5

Simplifying
n = 63.5

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