p(n+a)=1

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Solution for p(n+a)=1 equation: 


Simplifying
p(n + a) = 1

Reorder the terms:
p(a + n) = 1
(a * p + n * p) = 1
(ap + np) = 1

Solving
ap + np = 1

Solving for variable 'a'.

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

Add '-1np' to each side of the equation.
ap + np + -1np = 1 + -1np

Combine like terms: np + -1np = 0
ap + 0 = 1 + -1np
ap = 1 + -1np

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

Simplifying
a = p-1 + -1n

Reorder the terms:
a = -1n + p-1

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