12.4=3.87+B(9.2-3.87)

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Solution for 12.4=3.87+B(9.2-3.87) equation: 


Simplifying
12.4 = 3.87 + B(9.2 + -3.87)

Combine like terms: 9.2 + -3.87 = 5.33
12.4 = 3.87 + B(5.33)

Reorder the terms for easier multiplication:
12.4 = 3.87 + 5.33B

Solving
12.4 = 3.87 + 5.33B

Solving for variable 'B'.

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

Add '-5.33B' to each side of the equation.
12.4 + -5.33B = 3.87 + 5.33B + -5.33B

Combine like terms: 5.33B + -5.33B = 0.00
12.4 + -5.33B = 3.87 + 0.00
12.4 + -5.33B = 3.87

Add '-12.4' to each side of the equation.
12.4 + -12.4 + -5.33B = 3.87 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + -5.33B = 3.87 + -12.4
-5.33B = 3.87 + -12.4

Combine like terms: 3.87 + -12.4 = -8.53
-5.33B = -8.53

Divide each side by '-5.33'.
B = 1.600375235

Simplifying
B = 1.600375235

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