(34.340-23.7)b=(269.616+294.809)-(408.04+140.422)+(40.400-32.84)a

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Solution for (34.340-23.7)b=(269.616+294.809)-(408.04+140.422)+(40.400-32.84)a equation: 


Simplifying
(34.340 + -23.7) * b = (269.616 + 294.809) + -1(408.04 + 140.422) + (40.400 + -32.84) * a

Combine like terms: 34.340 + -23.7 = 10.64
(10.64) * b = (269.616 + 294.809) + -1(408.04 + 140.422) + (40.400 + -32.84) * a

Combine like terms: 269.616 + 294.809 = 564.425
10.64b = (564.425) + -1(408.04 + 140.422) + (40.400 + -32.84) * a
10.64b = 564.425 + -1(408.04 + 140.422) + (40.400 + -32.84) * a

Combine like terms: 408.04 + 140.422 = 548.462
10.64b = 564.425 + -1(548.462) + (40.400 + -32.84) * a

Multiply -1 * 548.462
10.64b = 564.425 + -548.462 + (40.400 + -32.84) * a

Combine like terms: 40.400 + -32.84 = 7.56
10.64b = 564.425 + -548.462 + (7.56) * a

Combine like terms: 564.425 + -548.462 = 15.963
10.64b = 15.963 + 7.56a

Solving
10.64b = 15.963 + 7.56a

Solving for variable 'b'.

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

Divide each side by '10.64'.
b = 1.500281955 + 0.7105263158a

Simplifying
b = 1.500281955 + 0.7105263158a

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