477=-6+3(n+1)

Solution for 477=-6+3(n+1) equation:

Simplifying
477 = -6 + 3(n + 1)

Reorder the terms:
477 = -6 + 3(1 + n)
477 = -6 + (1 * 3 + n * 3)
477 = -6 + (3 + 3n)

Combine like terms: -6 + 3 = -3
477 = -3 + 3n

Solving
477 = -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.
477 + -3n = -3 + 3n + -3n

Combine like terms: 3n + -3n = 0
477 + -3n = -3 + 0
477 + -3n = -3

Add '-477' to each side of the equation.
477 + -477 + -3n = -3 + -477

Combine like terms: 477 + -477 = 0
0 + -3n = -3 + -477
-3n = -3 + -477

Combine like terms: -3 + -477 = -480
-3n = -480

Divide each side by '-3'.
n = 160

Simplifying
n = 160