A(3)=-6+(n-1)(5)

Solution for A(3)=-6+(n-1)(5) equation:

Simplifying
A(3) = -6 + (n + -1)(5)

Reorder the terms for easier multiplication:
3A = -6 + (n + -1)(5)

Reorder the terms:
3A = -6 + (-1 + n)(5)

Reorder the terms for easier multiplication:
3A = -6 + 5(-1 + n)
3A = -6 + (-1 * 5 + n * 5)
3A = -6 + (-5 + 5n)

Combine like terms: -6 + -5 = -11
3A = -11 + 5n

Solving
3A = -11 + 5n

Solving for variable 'A'.

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

Divide each side by '3'.
A = -3.666666667 + 1.666666667n

Simplifying
A = -3.666666667 + 1.666666667n