(48.16-40.40)a=(408.04+140.422)-(579.84+273.572)-(33.08-23.7)b

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Solution for (48.16-40.40)a=(408.04+140.422)-(579.84+273.572)-(33.08-23.7)b equation:


Simplifying
(48.16 + -40.40) * a = (408.04 + 140.422) + -1(579.84 + 273.572) + -1(33.08 + -23.7) * b

Combine like terms: 48.16 + -40.40 = 7.76
(7.76) * a = (408.04 + 140.422) + -1(579.84 + 273.572) + -1(33.08 + -23.7) * b

Combine like terms: 408.04 + 140.422 = 548.462
7.76a = (548.462) + -1(579.84 + 273.572) + -1(33.08 + -23.7) * b
7.76a = 548.462 + -1(579.84 + 273.572) + -1(33.08 + -23.7) * b

Combine like terms: 579.84 + 273.572 = 853.412
7.76a = 548.462 + -1(853.412) + -1(33.08 + -23.7) * b

Multiply -1 * 853.412
7.76a = 548.462 + -853.412 + -1(33.08 + -23.7) * b

Combine like terms: 33.08 + -23.7 = 9.38
7.76a = 548.462 + -853.412 + -1(9.38) * b

Multiply -1 * 9.38
7.76a = 548.462 + -853.412 + -9.38b

Combine like terms: 548.462 + -853.412 = -304.95
7.76a = -304.95 + -9.38b

Solving
7.76a = -304.95 + -9.38b

Solving for variable 'a'.

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

Divide each side by '7.76'.
a = -39.29768041 + -1.208762887b

Simplifying
a = -39.29768041 + -1.208762887b

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