x(m+n)=1

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Solution for x(m+n)=1 equation: 


Simplifying
x(m + n) = 1
(m * x + n * x) = 1
(mx + nx) = 1

Solving
mx + nx = 1

Solving for variable 'm'.

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

Add '-1nx' to each side of the equation.
mx + nx + -1nx = 1 + -1nx

Combine like terms: nx + -1nx = 0
mx + 0 = 1 + -1nx
mx = 1 + -1nx

Divide each side by 'x'.
m = x-1 + -1n

Simplifying
m = x-1 + -1n

Reorder the terms:
m = -1n + x-1

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