105=(n)+(n+1)+(n+2)+(n+3)

Solution for 105=(n)+(n+1)+(n+2)+(n+3) equation:

Simplifying
105 = (n) + (n + 1) + (n + 2) + (n + 3)
105 = n + (n + 1) + (n + 2) + (n + 3)

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

Remove parenthesis around (1 + n)
105 = n + 1 + n + (n + 2) + (n + 3)

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

Remove parenthesis around (2 + n)
105 = n + 1 + n + 2 + n + (n + 3)

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

Remove parenthesis around (3 + n)
105 = n + 1 + n + 2 + n + 3 + n

Reorder the terms:
105 = 1 + 2 + 3 + n + n + n + n

Combine like terms: 1 + 2 = 3
105 = 3 + 3 + n + n + n + n

Combine like terms: 3 + 3 = 6
105 = 6 + n + n + n + n

Combine like terms: n + n = 2n
105 = 6 + 2n + n + n

Combine like terms: 2n + n = 3n
105 = 6 + 3n + n

Combine like terms: 3n + n = 4n
105 = 6 + 4n

Solving
105 = 6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
105 + -4n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0
105 + -4n = 6 + 0
105 + -4n = 6

Add '-105' to each side of the equation.
105 + -105 + -4n = 6 + -105

Combine like terms: 105 + -105 = 0
0 + -4n = 6 + -105
-4n = 6 + -105

Combine like terms: 6 + -105 = -99
-4n = -99

Divide each side by '-4'.
n = 24.75

Simplifying
n = 24.75