a+b=(a+b)(modp)

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Solution for a+b=(a+b)(modp) equation: 


Simplifying
a + b = (a + b)(modp)

Reorder the terms for easier multiplication:
a + b = dmop(a + b)
a + b = (a * dmop + b * dmop)
a + b = (admop + bdmop)

Solving
a + b = admop + bdmop

Solving for variable 'a'.

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

Add '-1admop' to each side of the equation.
a + -1admop + b = admop + -1admop + bdmop

Combine like terms: admop + -1admop = 0
a + -1admop + b = 0 + bdmop
a + -1admop + b = bdmop

Add '-1b' to each side of the equation.
a + -1admop + b + -1b = -1b + bdmop

Combine like terms: b + -1b = 0
a + -1admop + 0 = -1b + bdmop
a + -1admop = -1b + bdmop

Reorder the terms:
a + -1admop + b + -1bdmop = -1b + b + bdmop + -1bdmop

Combine like terms: -1b + b = 0
a + -1admop + b + -1bdmop = 0 + bdmop + -1bdmop
a + -1admop + b + -1bdmop = bdmop + -1bdmop

Combine like terms: bdmop + -1bdmop = 0
a + -1admop + b + -1bdmop = 0

The solution to this equation could not be determined.

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