2(.85-2B-1.5O)+4(.43-.5A-.75O)+3(.57-.67A-1.33B)=1.70

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Solution for 2(.85-2B-1.5O)+4(.43-.5A-.75O)+3(.57-.67A-1.33B)=1.70 equation: 


Simplifying
2(0.85 + -2B + -1.5O) + 4(0.43 + -0.5A + -0.75O) + 3(0.57 + -0.67A + -1.33B) = 1.70
(0.85 * 2 + -2B * 2 + -1.5O * 2) + 4(0.43 + -0.5A + -0.75O) + 3(0.57 + -0.67A + -1.33B) = 1.70
(1.7 + -4B + -3O) + 4(0.43 + -0.5A + -0.75O) + 3(0.57 + -0.67A + -1.33B) = 1.70
1.7 + -4B + -3O + (0.43 * 4 + -0.5A * 4 + -0.75O * 4) + 3(0.57 + -0.67A + -1.33B) = 1.70
1.7 + -4B + -3O + (1.72 + -2A + -3O) + 3(0.57 + -0.67A + -1.33B) = 1.70
1.7 + -4B + -3O + 1.72 + -2A + -3O + (0.57 * 3 + -0.67A * 3 + -1.33B * 3) = 1.70
1.7 + -4B + -3O + 1.72 + -2A + -3O + (1.71 + -2.01A + -3.99B) = 1.70

Reorder the terms:
1.7 + 1.72 + 1.71 + -2A + -2.01A + -4B + -3.99B + -3O + -3O = 1.70

Combine like terms: 1.7 + 1.72 = 3.42
3.42 + 1.71 + -2A + -2.01A + -4B + -3.99B + -3O + -3O = 1.70

Combine like terms: 3.42 + 1.71 = 5.13
5.13 + -2A + -2.01A + -4B + -3.99B + -3O + -3O = 1.70

Combine like terms: -2A + -2.01A = -4.01A
5.13 + -4.01A + -4B + -3.99B + -3O + -3O = 1.70

Combine like terms: -4B + -3.99B = -7.99B
5.13 + -4.01A + -7.99B + -3O + -3O = 1.70

Combine like terms: -3O + -3O = -6O
5.13 + -4.01A + -7.99B + -6O = 1.70

Solving
5.13 + -4.01A + -7.99B + -6O = 1.70

Solving for variable 'A'.

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

Add '-5.13' to each side of the equation.
5.13 + -4.01A + -7.99B + -5.13 + -6O = 1.70 + -5.13

Reorder the terms:
5.13 + -5.13 + -4.01A + -7.99B + -6O = 1.70 + -5.13

Combine like terms: 5.13 + -5.13 = 0.00
0.00 + -4.01A + -7.99B + -6O = 1.70 + -5.13
-4.01A + -7.99B + -6O = 1.70 + -5.13

Combine like terms: 1.70 + -5.13 = -3.43
-4.01A + -7.99B + -6O = -3.43

Add '7.99B' to each side of the equation.
-4.01A + -7.99B + 7.99B + -6O = -3.43 + 7.99B

Combine like terms: -7.99B + 7.99B = 0.00
-4.01A + 0.00 + -6O = -3.43 + 7.99B
-4.01A + -6O = -3.43 + 7.99B

Add '6O' to each side of the equation.
-4.01A + -6O + 6O = -3.43 + 7.99B + 6O

Combine like terms: -6O + 6O = 0
-4.01A + 0 = -3.43 + 7.99B + 6O
-4.01A = -3.43 + 7.99B + 6O

Divide each side by '-4.01'.
A = 0.855361596 + -1.992518703B + -1.496259352O

Simplifying
A = 0.855361596 + -1.992518703B + -1.496259352O

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