q=120-0.5(120-0.5q)

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Solution for q=120-0.5(120-0.5q) equation: 


Simplifying
q = 120 + -0.5(120 + -0.5q)
q = 120 + (120 * -0.5 + -0.5q * -0.5)
q = 120 + (-60 + 0.25q)

Combine like terms: 120 + -60 = 60
q = 60 + 0.25q

Solving
q = 60 + 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 = 60 + 0.25q + -0.25q

Combine like terms: q + -0.25q = 0.75q
0.75q = 60 + 0.25q + -0.25q

Combine like terms: 0.25q + -0.25q = 0.00
0.75q = 60 + 0.00
0.75q = 60

Divide each side by '0.75'.
q = 80

Simplifying
q = 80

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