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

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

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

Reorder the terms for easier multiplication:
3A = -6 + (n + -1)(6)

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

Reorder the terms for easier multiplication:
3A = -6 + 6(-1 + n)
3A = -6 + (-1 * 6 + n * 6)
3A = -6 + (-6 + 6n)

Combine like terms: -6 + -6 = -12
3A = -12 + 6n

Solving
3A = -12 + 6n

Solving for variable 'A'.

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

Divide each side by '3'.
A = -4 + 2n

Simplifying
A = -4 + 2n