A(n)=-6+(n-1)(6)

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

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

Multiply A * n
nA = -6 + (n + -1)(6)

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

Reorder the terms for easier multiplication:
nA = -6 + 6(-1 + n)
nA = -6 + (-1 * 6 + n * 6)
nA = -6 + (-6 + 6n)

Combine like terms: -6 + -6 = -12
nA = -12 + 6n

Solving
nA = -12 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-6n + nA = -12 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6n + nA = -12 + 0
-6n + nA = -12

Reorder the terms:
12 + -6n + nA = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -6n + nA = 0

The solution to this equation could not be determined.