78=n+(n+1)+(n+2)

Solution for 78=n+(n+1)+(n+2) equation:

Simplifying
78 = n + (n + 1) + (n + 2)

Reorder the terms:
78 = n + (1 + n) + (n + 2)

Remove parenthesis around (1 + n)
78 = n + 1 + n + (n + 2)

Reorder the terms:
78 = n + 1 + n + (2 + n)

Remove parenthesis around (2 + n)
78 = n + 1 + n + 2 + n

Reorder the terms:
78 = 1 + 2 + n + n + n

Combine like terms: 1 + 2 = 3
78 = 3 + n + n + n

Combine like terms: n + n = 2n
78 = 3 + 2n + n

Combine like terms: 2n + n = 3n
78 = 3 + 3n

Solving
78 = 3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
78 + -3n = 3 + 3n + -3n

Combine like terms: 3n + -3n = 0
78 + -3n = 3 + 0
78 + -3n = 3

Add '-78' to each side of the equation.
78 + -78 + -3n = 3 + -78

Combine like terms: 78 + -78 = 0
0 + -3n = 3 + -78
-3n = 3 + -78

Combine like terms: 3 + -78 = -75
-3n = -75

Divide each side by '-3'.
n = 25

Simplifying
n = 25