B(b+c)=a

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


Simplifying
B(b + c) = a
(b * B + c * B) = a
(bB + cB) = a

Solving
bB + cB = a

Solving for variable 'b'.

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

Add '-1cB' to each side of the equation.
bB + cB + -1cB = a + -1cB

Combine like terms: cB + -1cB = 0
bB + 0 = a + -1cB
bB = a + -1cB

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

Simplifying
b = aB-1 + -1c

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