b(a+c)=1

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Solution for b(a+c)=1 equation: 


Simplifying
b(a + c) = 1
(a * b + c * b) = 1
(ab + bc) = 1

Solving
ab + bc = 1

Solving for variable 'a'.

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

Add '-1bc' to each side of the equation.
ab + bc + -1bc = 1 + -1bc

Combine like terms: bc + -1bc = 0
ab + 0 = 1 + -1bc
ab = 1 + -1bc

Divide each side by 'b'.
a = b-1 + -1c

Simplifying
a = b-1 + -1c

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