a(n)=-5+(n-1)(-3)

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

Simplifying
a(n) = -5 + (n + -1)(-3)

Multiply a * n
an = -5 + (n + -1)(-3)

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

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

Combine like terms: -5 + 3 = -2
an = -2 + -3n

Solving
an = -2 + -3n

Solving for variable 'a'.

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

Divide each side by 'n'.
a = -2n-1 + -3

Simplifying
a = -2n-1 + -3

Reorder the terms:
a = -3 + -2n-1