86Q+36(1-Q)=42Q+106(1-Q)

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Solution for 86Q+36(1-Q)=42Q+106(1-Q) equation: 


Simplifying
86Q + 36(1 + -1Q) = 42Q + 106(1 + -1Q)
86Q + (1 * 36 + -1Q * 36) = 42Q + 106(1 + -1Q)
86Q + (36 + -36Q) = 42Q + 106(1 + -1Q)

Reorder the terms:
36 + 86Q + -36Q = 42Q + 106(1 + -1Q)

Combine like terms: 86Q + -36Q = 50Q
36 + 50Q = 42Q + 106(1 + -1Q)
36 + 50Q = 42Q + (1 * 106 + -1Q * 106)
36 + 50Q = 42Q + (106 + -106Q)

Reorder the terms:
36 + 50Q = 106 + 42Q + -106Q

Combine like terms: 42Q + -106Q = -64Q
36 + 50Q = 106 + -64Q

Solving
36 + 50Q = 106 + -64Q

Solving for variable 'Q'.

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

Add '64Q' to each side of the equation.
36 + 50Q + 64Q = 106 + -64Q + 64Q

Combine like terms: 50Q + 64Q = 114Q
36 + 114Q = 106 + -64Q + 64Q

Combine like terms: -64Q + 64Q = 0
36 + 114Q = 106 + 0
36 + 114Q = 106

Add '-36' to each side of the equation.
36 + -36 + 114Q = 106 + -36

Combine like terms: 36 + -36 = 0
0 + 114Q = 106 + -36
114Q = 106 + -36

Combine like terms: 106 + -36 = 70
114Q = 70

Divide each side by '114'.
Q = 0.6140350877

Simplifying
Q = 0.6140350877

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