a*x+b=n

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Solution for a*x+b=n equation: 


Simplifying
a * x + b = n

Multiply a * x
ax + b = n

Solving
ax + b = n

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
ax + b + -1b = -1b + n

Combine like terms: b + -1b = 0
ax + 0 = -1b + n
ax = -1b + n

Divide each side by 'x'.
a = -1bx-1 + nx-1

Simplifying
a = -1bx-1 + nx-1

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