An=a+(a-1)d

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Solution for An=a+(a-1)d equation: 


Simplifying
An = a + (a + -1) * d

Reorder the terms:
nA = a + (-1 + a) * d

Reorder the terms for easier multiplication:
nA = a + d(-1 + a)
nA = a + (-1 * d + a * d)

Reorder the terms:
nA = a + (ad + -1d)
nA = a + (ad + -1d)

Solving
nA = a + ad + -1d

Solving for variable 'n'.

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

Divide each side by 'A'.
n = aA-1 + adA-1 + -1dA-1

Simplifying
n = aA-1 + adA-1 + -1dA-1

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