Q=6-.5(6-.5Q)

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Solution for Q=6-.5(6-.5Q) equation:


Simplifying
Q = 6 + -0.5(6 + -0.5Q)
Q = 6 + (6 * -0.5 + -0.5Q * -0.5)
Q = 6 + (-3 + 0.25Q)

Combine like terms: 6 + -3 = 3
Q = 3 + 0.25Q

Solving
Q = 3 + 0.25Q

Solving for variable 'Q'.

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

Add '-0.25Q' to each side of the equation.
Q + -0.25Q = 3 + 0.25Q + -0.25Q

Combine like terms: Q + -0.25Q = 0.75Q
0.75Q = 3 + 0.25Q + -0.25Q

Combine like terms: 0.25Q + -0.25Q = 0.00
0.75Q = 3 + 0.00
0.75Q = 3

Divide each side by '0.75'.
Q = 4

Simplifying
Q = 4

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