n+(n+25)+(n-27)=100

Solution for n+(n+25)+(n-27)=100 equation:

Simplifying
n + (n + 25) + (n + -27) = 100

Reorder the terms:
n + (25 + n) + (n + -27) = 100

Remove parenthesis around (25 + n)
n + 25 + n + (n + -27) = 100

Reorder the terms:
n + 25 + n + (-27 + n) = 100

Remove parenthesis around (-27 + n)
n + 25 + n + -27 + n = 100

Reorder the terms:
25 + -27 + n + n + n = 100

Combine like terms: 25 + -27 = -2
-2 + n + n + n = 100

Combine like terms: n + n = 2n
-2 + 2n + n = 100

Combine like terms: 2n + n = 3n
-2 + 3n = 100

Solving
-2 + 3n = 100

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 3n = 100 + 2

Combine like terms: -2 + 2 = 0
0 + 3n = 100 + 2
3n = 100 + 2

Combine like terms: 100 + 2 = 102
3n = 102

Divide each side by '3'.
n = 34

Simplifying
n = 34