n=6+3(n-1)

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

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

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

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

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

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

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

Divide each side by '-2'.
n = -1.5

Simplifying
n = -1.5