n+(n+4)=3(n+2)-77

Solution for n+(n+4)=3(n+2)-77 equation:

Simplifying
n + (n + 4) = 3(n + 2) + -77

Reorder the terms:
n + (4 + n) = 3(n + 2) + -77

Remove parenthesis around (4 + n)
n + 4 + n = 3(n + 2) + -77

Reorder the terms:
4 + n + n = 3(n + 2) + -77

Combine like terms: n + n = 2n
4 + 2n = 3(n + 2) + -77

Reorder the terms:
4 + 2n = 3(2 + n) + -77
4 + 2n = (2 * 3 + n * 3) + -77
4 + 2n = (6 + 3n) + -77

Reorder the terms:
4 + 2n = 6 + -77 + 3n

Combine like terms: 6 + -77 = -71
4 + 2n = -71 + 3n

Solving
4 + 2n = -71 + 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.
4 + 2n + -3n = -71 + 3n + -3n

Combine like terms: 2n + -3n = -1n
4 + -1n = -71 + 3n + -3n

Combine like terms: 3n + -3n = 0
4 + -1n = -71 + 0
4 + -1n = -71

Add '-4' to each side of the equation.
4 + -4 + -1n = -71 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = -71 + -4
-1n = -71 + -4

Combine like terms: -71 + -4 = -75
-1n = -75

Divide each side by '-1'.
n = 75

Simplifying
n = 75